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An information-theoretic account of the Wigner-Araki-Yanase theorem · Around

2012

An information-theoretic account of the Wigner-Araki-Yanase theorem

Marvian, Iman, Spekkens, Robert W.

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The Wigner-Araki-Yanase (WAY) theorem can be understood as a result in the resource theory of asymmetry asserting the impossibility of perfectly simulating, via symmetric processing, the measurement of an asymmetric observable unless one has access to a state that is perfectly asymmetric, that is, one whose orbit under the group action is a set of orthogonal states.

The simulation problem can be characterized information-theoretically by considering how well both the target observable and the resource state can provide an encoding of an element of the symmetry group.
Leveraging this information-theoretic perspective, we show that the WAY theorem is a consequence of the no-programming theorem for projective measurements.
The connection allows us to clarify the conceptual content of the theorem and to deduce some interesting generalizations.

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Then

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2011
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I. Marvian and R. W. Spekkens, arXiv:1104.0018(2011)
Original
2011
Later among the works it cites.
I. Marvian and R. W. Spekkens, arXiv:1105.1816(2011)
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2011
Later among the works it cites.
M. Ahmadi, D. Jennings, and T. Rudolph, arXiv:1209.0921 [quant-ph](2012)
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