Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

**Quantum measurements constrained by symmetries.** / Busch, P.; D. Loveridge, L.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Busch, P & D. Loveridge, L 2013, Quantum measurements constrained by symmetries. in C Bai, J-P Gazeau & M-L Ge (eds), *Symmetries and groups in contemporary physics: Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics.* vol. 11, Nankai Series in Pure, Applied Mathematics and Theoretical Physics, vol. 11, World Scientific Publishing, Singapore, pp. 587-592, The XXIX International Colloquium on Group-Theoretical Methods in Physics, Tianjin, China, 20/08/12. https://doi.org/10.1142/9789814518550_0083

Busch, P., & D. Loveridge, L. (2013). Quantum measurements constrained by symmetries. In C. Bai, J-P. Gazeau, & M-L. Ge (Eds.), *Symmetries and groups in contemporary physics: Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics *(Vol. 11, pp. 587-592). (Nankai Series in Pure, Applied Mathematics and Theoretical Physics; Vol. 11). World Scientific Publishing. https://doi.org/10.1142/9789814518550_0083

Busch P, D. Loveridge L. Quantum measurements constrained by symmetries. In Bai C, Gazeau J-P, Ge M-L, editors, Symmetries and groups in contemporary physics: Proceedings of the XXIX International Colloquium on Group-Theoretical Methods in Physics. Vol. 11. Singapore: World Scientific Publishing. 2013. p. 587-592. (Nankai Series in Pure, Applied Mathematics and Theoretical Physics). https://doi.org/10.1142/9789814518550_0083

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title = "Quantum measurements constrained by symmetries",

abstract = "We revisit the theorem of Wigner, Araki and Yanase (WAY) describing limitations to repeatable quantum measurements that arise from the presence of conservation laws. We will review a strengthening of this theorem by exhibiting and discussing a condition that has hitherto not been identified as a relevant factor. We will also show that an extension of the theorem to continuous variables such as position and momentum can be obtained if the degree of repeatability is suitably quantified.",

keywords = "quant-ph, 81P15",

author = "P. Busch and {D. Loveridge}, L.",

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editor = "Chengming Bai and Jean-Pierre Gazeau and Mo-Lin Ge",

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note = "The XXIX International Colloquium on Group-Theoretical Methods in Physics ; Conference date: 20-08-2012 Through 26-08-2012",

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N2 - We revisit the theorem of Wigner, Araki and Yanase (WAY) describing limitations to repeatable quantum measurements that arise from the presence of conservation laws. We will review a strengthening of this theorem by exhibiting and discussing a condition that has hitherto not been identified as a relevant factor. We will also show that an extension of the theorem to continuous variables such as position and momentum can be obtained if the degree of repeatability is suitably quantified.

AB - We revisit the theorem of Wigner, Araki and Yanase (WAY) describing limitations to repeatable quantum measurements that arise from the presence of conservation laws. We will review a strengthening of this theorem by exhibiting and discussing a condition that has hitherto not been identified as a relevant factor. We will also show that an extension of the theorem to continuous variables such as position and momentum can be obtained if the degree of repeatability is suitably quantified.

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KW - 81P15

U2 - 10.1142/9789814518550_0083

DO - 10.1142/9789814518550_0083

M3 - Conference contribution

SN - 978-981-4518-54-3

VL - 11

T3 - Nankai Series in Pure, Applied Mathematics and Theoretical Physics

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BT - Symmetries and groups in contemporary physics

A2 - Bai, Chengming

A2 - Gazeau, Jean-Pierre

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T2 - The XXIX International Colloquium on Group-Theoretical Methods in Physics

Y2 - 20 August 2012 through 26 August 2012

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