T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

G. Thekkadath, R. Saaltink, L. Giner, and J. Lundeen, “Determining complementary properties with quantum clones,” Phys. Rev. Lett. 119, 050405 (2017).

[Crossref]

A. A. Abbott and C. Branciard, “Noise and disturbance of qubit measurements: an information-theoretic characterization,” Phys. Rev. A 94, 062110 (2016).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Heisenberg uncertainty for qubit measurements,” Phys. Rev. A 89, 012129 (2014).

[Crossref]

M. Ringbauer, D. N. Biggerstaff, M. A. Broome, A. Fedrizzi, C. Branciard, and A. G. White, “Experimental joint quantum measurements with minimum uncertainty,” Phys. Rev. Lett. 112, 020401 (2014).

[Crossref]

F. Kaneda, S.-Y. Baek, M. Ozawa, and K. Edamatsu, “Experimental test of error-disturbance uncertainty relations by weak measurement,” Phys. Rev. Lett. 112, 020402 (2014).

[Crossref]

M. M. Weston, M. J. Hall, M. S. Palsson, H. M. Wiseman, and G. J. Pryde, “Experimental test of universal complementarity relations,” Phys. Rev. Lett. 110, 220402 (2013).

[Crossref]

G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, “Violation of Heisenberg’s error-disturbance uncertainty relation in neutron-spin measurements,” Phys. Rev. A 88, 022110 (2013).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Proof of Heisenberg’s error-disturbance relation,” Phys. Rev. Lett. 111, 160405 (2013).

[Crossref]

C. Branciard, “Error-tradeoff and error-disturbance relations for incompatible quantum measurements,” Proc. Natl. Acad. Sci. USA 110, 6742–6747 (2013).

[Crossref]

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, “Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements,” Nat. Phys. 8, 185–189 (2012).

[Crossref]

L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, “Violation of Heisenberg’s measurement-disturbance relationship by weak measurements,” Phys. Rev. Lett. 109, 100404 (2012).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

T. Brougham, E. Andersson, and S. M. Barnett, “Cloning and joint measurements of incompatible components of spin,” Phys. Rev. A 73, 062319 (2006).

[Crossref]

E. Andersson, S. M. Barnett, and A. Aspect, “Joint measurements of spin, operational locality, and uncertainty,” Phys. Rev. A 72, 042104 (2005).

[Crossref]

M. J. Hall, “Prior information: how to circumvent the standard joint-measurement uncertainty relation,” Phys. Rev. A 69, 052113 (2004).

[Crossref]

M. Ozawa, “Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement,” Phys. Rev. A 67, 042105 (2003).

[Crossref]

S. M. Barnett, “Quantum information via novel measurements,” Philos. Trans. R. Soc. London, Ser. A 355, 2279–2290 (1997).

[Crossref]

S. Stenholm, “Simultaneous measurement of conjugate variables,” Ann. Phys. 218, 233–254 (1992).

[Crossref]

E. Arthurs and M. Goodman, “Quantum correlations: a generalized Heisenberg uncertainty relation,” Phys. Rev. Lett. 60, 2447–2449 (1988).

[Crossref]

P. Busch, “Some realizable joint measurements of complementary observables,” Found. Phys. 17, 905–937 (1987).

[Crossref]

P. Busch, “Unsharp reality and joint measurements for spin observables,” Phys. Rev. D 33, 2253–2261 (1986).

[Crossref]

E. Arthurs and J. Kelly, “On the simultaneous measurement of a pair of conjugate observables,” Bell Syst. Tech. J. 44, 725–729 (1965).

[Crossref]

E. Schrödinger, “About Heisenberg uncertainty relation,” Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) 19, 296–303 (1930).

H. P. Robertson, “The uncertainty principle,” Phys. Rev. 34, 163–164 (1929).

[Crossref]

W. Heisenberg, “Über den anschaulichen inhalt der quantentheoretischen kinematik und mechanik,” Zeitschrift für Physik A Hadrons and Nuclei 43, 172–198 (1927).

A. A. Abbott and C. Branciard, “Noise and disturbance of qubit measurements: an information-theoretic characterization,” Phys. Rev. A 94, 062110 (2016).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

T. Brougham, E. Andersson, and S. M. Barnett, “Cloning and joint measurements of incompatible components of spin,” Phys. Rev. A 73, 062319 (2006).

[Crossref]

E. Andersson, S. M. Barnett, and A. Aspect, “Joint measurements of spin, operational locality, and uncertainty,” Phys. Rev. A 72, 042104 (2005).

[Crossref]

E. Arthurs and M. Goodman, “Quantum correlations: a generalized Heisenberg uncertainty relation,” Phys. Rev. Lett. 60, 2447–2449 (1988).

[Crossref]

E. Arthurs and J. Kelly, “On the simultaneous measurement of a pair of conjugate observables,” Bell Syst. Tech. J. 44, 725–729 (1965).

[Crossref]

E. Andersson, S. M. Barnett, and A. Aspect, “Joint measurements of spin, operational locality, and uncertainty,” Phys. Rev. A 72, 042104 (2005).

[Crossref]

G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, “Violation of Heisenberg’s error-disturbance uncertainty relation in neutron-spin measurements,” Phys. Rev. A 88, 022110 (2013).

[Crossref]

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, “Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements,” Nat. Phys. 8, 185–189 (2012).

[Crossref]

F. Kaneda, S.-Y. Baek, M. Ozawa, and K. Edamatsu, “Experimental test of error-disturbance uncertainty relations by weak measurement,” Phys. Rev. Lett. 112, 020402 (2014).

[Crossref]

T. Brougham, E. Andersson, and S. M. Barnett, “Cloning and joint measurements of incompatible components of spin,” Phys. Rev. A 73, 062319 (2006).

[Crossref]

E. Andersson, S. M. Barnett, and A. Aspect, “Joint measurements of spin, operational locality, and uncertainty,” Phys. Rev. A 72, 042104 (2005).

[Crossref]

S. M. Barnett, “Quantum information via novel measurements,” Philos. Trans. R. Soc. London, Ser. A 355, 2279–2290 (1997).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

M. Ringbauer, D. N. Biggerstaff, M. A. Broome, A. Fedrizzi, C. Branciard, and A. G. White, “Experimental joint quantum measurements with minimum uncertainty,” Phys. Rev. Lett. 112, 020401 (2014).

[Crossref]

A. A. Abbott and C. Branciard, “Noise and disturbance of qubit measurements: an information-theoretic characterization,” Phys. Rev. A 94, 062110 (2016).

[Crossref]

M. Ringbauer, D. N. Biggerstaff, M. A. Broome, A. Fedrizzi, C. Branciard, and A. G. White, “Experimental joint quantum measurements with minimum uncertainty,” Phys. Rev. Lett. 112, 020401 (2014).

[Crossref]

C. Branciard, “Error-tradeoff and error-disturbance relations for incompatible quantum measurements,” Proc. Natl. Acad. Sci. USA 110, 6742–6747 (2013).

[Crossref]

M. Ringbauer, D. N. Biggerstaff, M. A. Broome, A. Fedrizzi, C. Branciard, and A. G. White, “Experimental joint quantum measurements with minimum uncertainty,” Phys. Rev. Lett. 112, 020401 (2014).

[Crossref]

T. Brougham, E. Andersson, and S. M. Barnett, “Cloning and joint measurements of incompatible components of spin,” Phys. Rev. A 73, 062319 (2006).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Heisenberg uncertainty for qubit measurements,” Phys. Rev. A 89, 012129 (2014).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Proof of Heisenberg’s error-disturbance relation,” Phys. Rev. Lett. 111, 160405 (2013).

[Crossref]

P. Busch, “Some realizable joint measurements of complementary observables,” Found. Phys. 17, 905–937 (1987).

[Crossref]

P. Busch, “Unsharp reality and joint measurements for spin observables,” Phys. Rev. D 33, 2253–2261 (1986).

[Crossref]

P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics (Springer, 2001).

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

M. Halder, J. Fulconis, B. Cemlyn, A. Clark, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Nonclassical 2-photon interference with separate intrinsically narrowband fibre sources,” Opt. Express 17, 4670–4676 (2009).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

M. Halder, J. Fulconis, B. Cemlyn, A. Clark, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Nonclassical 2-photon interference with separate intrinsically narrowband fibre sources,” Opt. Express 17, 4670–4676 (2009).

[Crossref]

L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, “Violation of Heisenberg’s measurement-disturbance relationship by weak measurements,” Phys. Rev. Lett. 109, 100404 (2012).

[Crossref]

F. Kaneda, S.-Y. Baek, M. Ozawa, and K. Edamatsu, “Experimental test of error-disturbance uncertainty relations by weak measurement,” Phys. Rev. Lett. 112, 020402 (2014).

[Crossref]

G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, “Violation of Heisenberg’s error-disturbance uncertainty relation in neutron-spin measurements,” Phys. Rev. A 88, 022110 (2013).

[Crossref]

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, “Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements,” Nat. Phys. 8, 185–189 (2012).

[Crossref]

M. Ringbauer, D. N. Biggerstaff, M. A. Broome, A. Fedrizzi, C. Branciard, and A. G. White, “Experimental joint quantum measurements with minimum uncertainty,” Phys. Rev. Lett. 112, 020401 (2014).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

M. Halder, J. Fulconis, B. Cemlyn, A. Clark, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Nonclassical 2-photon interference with separate intrinsically narrowband fibre sources,” Opt. Express 17, 4670–4676 (2009).

[Crossref]

G. Thekkadath, R. Saaltink, L. Giner, and J. Lundeen, “Determining complementary properties with quantum clones,” Phys. Rev. Lett. 119, 050405 (2017).

[Crossref]

E. Arthurs and M. Goodman, “Quantum correlations: a generalized Heisenberg uncertainty relation,” Phys. Rev. Lett. 60, 2447–2449 (1988).

[Crossref]

P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics (Springer, 2001).

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

M. M. Weston, M. J. Hall, M. S. Palsson, H. M. Wiseman, and G. J. Pryde, “Experimental test of universal complementarity relations,” Phys. Rev. Lett. 110, 220402 (2013).

[Crossref]

M. J. Hall, “Prior information: how to circumvent the standard joint-measurement uncertainty relation,” Phys. Rev. A 69, 052113 (2004).

[Crossref]

G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, “Violation of Heisenberg’s error-disturbance uncertainty relation in neutron-spin measurements,” Phys. Rev. A 88, 022110 (2013).

[Crossref]

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, “Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements,” Nat. Phys. 8, 185–189 (2012).

[Crossref]

L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, “Violation of Heisenberg’s measurement-disturbance relationship by weak measurements,” Phys. Rev. Lett. 109, 100404 (2012).

[Crossref]

W. Heisenberg, “Über den anschaulichen inhalt der quantentheoretischen kinematik und mechanik,” Zeitschrift für Physik A Hadrons and Nuclei 43, 172–198 (1927).

F. Kaneda, S.-Y. Baek, M. Ozawa, and K. Edamatsu, “Experimental test of error-disturbance uncertainty relations by weak measurement,” Phys. Rev. Lett. 112, 020402 (2014).

[Crossref]

E. Arthurs and J. Kelly, “On the simultaneous measurement of a pair of conjugate observables,” Bell Syst. Tech. J. 44, 725–729 (1965).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Heisenberg uncertainty for qubit measurements,” Phys. Rev. A 89, 012129 (2014).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Proof of Heisenberg’s error-disturbance relation,” Phys. Rev. Lett. 111, 160405 (2013).

[Crossref]

P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics (Springer, 2001).

G. Thekkadath, R. Saaltink, L. Giner, and J. Lundeen, “Determining complementary properties with quantum clones,” Phys. Rev. Lett. 119, 050405 (2017).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, “Violation of Heisenberg’s measurement-disturbance relationship by weak measurements,” Phys. Rev. Lett. 109, 100404 (2012).

[Crossref]

F. Kaneda, S.-Y. Baek, M. Ozawa, and K. Edamatsu, “Experimental test of error-disturbance uncertainty relations by weak measurement,” Phys. Rev. Lett. 112, 020402 (2014).

[Crossref]

G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, “Violation of Heisenberg’s error-disturbance uncertainty relation in neutron-spin measurements,” Phys. Rev. A 88, 022110 (2013).

[Crossref]

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, “Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements,” Nat. Phys. 8, 185–189 (2012).

[Crossref]

M. Ozawa, “Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement,” Phys. Rev. A 67, 042105 (2003).

[Crossref]

M. M. Weston, M. J. Hall, M. S. Palsson, H. M. Wiseman, and G. J. Pryde, “Experimental test of universal complementarity relations,” Phys. Rev. Lett. 110, 220402 (2013).

[Crossref]

M. M. Weston, M. J. Hall, M. S. Palsson, H. M. Wiseman, and G. J. Pryde, “Experimental test of universal complementarity relations,” Phys. Rev. Lett. 110, 220402 (2013).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

M. Halder, J. Fulconis, B. Cemlyn, A. Clark, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Nonclassical 2-photon interference with separate intrinsically narrowband fibre sources,” Opt. Express 17, 4670–4676 (2009).

[Crossref]

M. Ringbauer, D. N. Biggerstaff, M. A. Broome, A. Fedrizzi, C. Branciard, and A. G. White, “Experimental joint quantum measurements with minimum uncertainty,” Phys. Rev. Lett. 112, 020401 (2014).

[Crossref]

H. P. Robertson, “The uncertainty principle,” Phys. Rev. 34, 163–164 (1929).

[Crossref]

L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, “Violation of Heisenberg’s measurement-disturbance relationship by weak measurements,” Phys. Rev. Lett. 109, 100404 (2012).

[Crossref]

G. Thekkadath, R. Saaltink, L. Giner, and J. Lundeen, “Determining complementary properties with quantum clones,” Phys. Rev. Lett. 119, 050405 (2017).

[Crossref]

E. Schrödinger, “About Heisenberg uncertainty relation,” Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) 19, 296–303 (1930).

L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, “Violation of Heisenberg’s measurement-disturbance relationship by weak measurements,” Phys. Rev. Lett. 109, 100404 (2012).

[Crossref]

G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, “Violation of Heisenberg’s error-disturbance uncertainty relation in neutron-spin measurements,” Phys. Rev. A 88, 022110 (2013).

[Crossref]

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, “Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements,” Nat. Phys. 8, 185–189 (2012).

[Crossref]

L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, “Violation of Heisenberg’s measurement-disturbance relationship by weak measurements,” Phys. Rev. Lett. 109, 100404 (2012).

[Crossref]

S. Stenholm, “Simultaneous measurement of conjugate variables,” Ann. Phys. 218, 233–254 (1992).

[Crossref]

G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, “Violation of Heisenberg’s error-disturbance uncertainty relation in neutron-spin measurements,” Phys. Rev. A 88, 022110 (2013).

[Crossref]

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, “Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements,” Nat. Phys. 8, 185–189 (2012).

[Crossref]

G. Thekkadath, R. Saaltink, L. Giner, and J. Lundeen, “Determining complementary properties with quantum clones,” Phys. Rev. Lett. 119, 050405 (2017).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

M. Halder, J. Fulconis, B. Cemlyn, A. Clark, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Nonclassical 2-photon interference with separate intrinsically narrowband fibre sources,” Opt. Express 17, 4670–4676 (2009).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Heisenberg uncertainty for qubit measurements,” Phys. Rev. A 89, 012129 (2014).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Proof of Heisenberg’s error-disturbance relation,” Phys. Rev. Lett. 111, 160405 (2013).

[Crossref]

M. M. Weston, M. J. Hall, M. S. Palsson, H. M. Wiseman, and G. J. Pryde, “Experimental test of universal complementarity relations,” Phys. Rev. Lett. 110, 220402 (2013).

[Crossref]

M. Ringbauer, D. N. Biggerstaff, M. A. Broome, A. Fedrizzi, C. Branciard, and A. G. White, “Experimental joint quantum measurements with minimum uncertainty,” Phys. Rev. Lett. 112, 020401 (2014).

[Crossref]

M. M. Weston, M. J. Hall, M. S. Palsson, H. M. Wiseman, and G. J. Pryde, “Experimental test of universal complementarity relations,” Phys. Rev. Lett. 110, 220402 (2013).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

M. Halder, J. Fulconis, B. Cemlyn, A. Clark, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Nonclassical 2-photon interference with separate intrinsically narrowband fibre sources,” Opt. Express 17, 4670–4676 (2009).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

S. Stenholm, “Simultaneous measurement of conjugate variables,” Ann. Phys. 218, 233–254 (1992).

[Crossref]

E. Arthurs and J. Kelly, “On the simultaneous measurement of a pair of conjugate observables,” Bell Syst. Tech. J. 44, 725–729 (1965).

[Crossref]

P. Busch, “Some realizable joint measurements of complementary observables,” Found. Phys. 17, 905–937 (1987).

[Crossref]

J. Erhart, S. Sponar, G. Sulyok, G. Badurek, M. Ozawa, and Y. Hasegawa, “Experimental demonstration of a universally valid error-disturbance uncertainty relation in spin measurements,” Nat. Phys. 8, 185–189 (2012).

[Crossref]

T. Xiong, L. Yan, Z. Ma, F. Zhou, L. Chen, W. Yang, M. Feng, and P. Busch, “Optimal joint measurements of complementary observables by a single trapped ion,” New J. Phys. 19, 063032 (2017).

[Crossref]

A. Clark, B. Bell, J. Fulconis, M. M. Halder, B. Cemlyn, O. Alibart, C. Xiong, W. J. Wadsworth, and J. G. Rarity, “Intrinsically narrowband pair photon generation in microstructured fibres,” New J. Phys. 13, 065009 (2011).

[Crossref]

S. M. Barnett, “Quantum information via novel measurements,” Philos. Trans. R. Soc. London, Ser. A 355, 2279–2290 (1997).

[Crossref]

H. P. Robertson, “The uncertainty principle,” Phys. Rev. 34, 163–164 (1929).

[Crossref]

M. J. Hall, “Prior information: how to circumvent the standard joint-measurement uncertainty relation,” Phys. Rev. A 69, 052113 (2004).

[Crossref]

M. Ozawa, “Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement,” Phys. Rev. A 67, 042105 (2003).

[Crossref]

G. Sulyok, S. Sponar, J. Erhart, G. Badurek, M. Ozawa, and Y. Hasegawa, “Violation of Heisenberg’s error-disturbance uncertainty relation in neutron-spin measurements,” Phys. Rev. A 88, 022110 (2013).

[Crossref]

A. A. Abbott and C. Branciard, “Noise and disturbance of qubit measurements: an information-theoretic characterization,” Phys. Rev. A 94, 062110 (2016).

[Crossref]

T. Brougham, E. Andersson, and S. M. Barnett, “Cloning and joint measurements of incompatible components of spin,” Phys. Rev. A 73, 062319 (2006).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Heisenberg uncertainty for qubit measurements,” Phys. Rev. A 89, 012129 (2014).

[Crossref]

E. Andersson, S. M. Barnett, and A. Aspect, “Joint measurements of spin, operational locality, and uncertainty,” Phys. Rev. A 72, 042104 (2005).

[Crossref]

P. Busch, “Unsharp reality and joint measurements for spin observables,” Phys. Rev. D 33, 2253–2261 (1986).

[Crossref]

E. Arthurs and M. Goodman, “Quantum correlations: a generalized Heisenberg uncertainty relation,” Phys. Rev. Lett. 60, 2447–2449 (1988).

[Crossref]

L. A. Rozema, A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, “Violation of Heisenberg’s measurement-disturbance relationship by weak measurements,” Phys. Rev. Lett. 109, 100404 (2012).

[Crossref]

M. Ringbauer, D. N. Biggerstaff, M. A. Broome, A. Fedrizzi, C. Branciard, and A. G. White, “Experimental joint quantum measurements with minimum uncertainty,” Phys. Rev. Lett. 112, 020401 (2014).

[Crossref]

F. Kaneda, S.-Y. Baek, M. Ozawa, and K. Edamatsu, “Experimental test of error-disturbance uncertainty relations by weak measurement,” Phys. Rev. Lett. 112, 020402 (2014).

[Crossref]

P. Busch, P. Lahti, and R. F. Werner, “Proof of Heisenberg’s error-disturbance relation,” Phys. Rev. Lett. 111, 160405 (2013).

[Crossref]

G. Thekkadath, R. Saaltink, L. Giner, and J. Lundeen, “Determining complementary properties with quantum clones,” Phys. Rev. Lett. 119, 050405 (2017).

[Crossref]

M. M. Weston, M. J. Hall, M. S. Palsson, H. M. Wiseman, and G. J. Pryde, “Experimental test of universal complementarity relations,” Phys. Rev. Lett. 110, 220402 (2013).

[Crossref]

C. Branciard, “Error-tradeoff and error-disturbance relations for incompatible quantum measurements,” Proc. Natl. Acad. Sci. USA 110, 6742–6747 (2013).

[Crossref]

E. Schrödinger, “About Heisenberg uncertainty relation,” Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) 19, 296–303 (1930).

W. Heisenberg, “Über den anschaulichen inhalt der quantentheoretischen kinematik und mechanik,” Zeitschrift für Physik A Hadrons and Nuclei 43, 172–198 (1927).

What is meant by a “sharp” measurement is when an observable is measured by making a projective measurement in its eigenbasis.

P. Busch, M. Grabowski, and P. J. Lahti, Operational Quantum Physics (Springer, 2001).

Equivalently, we can assume that the measurement results are ±1/α.