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We determine the quantum states and measurements that optimize the accessible information in a reference frame alignment protocol associated with the groups U(1), corresponding to a phase reference, and $\mathbb{Z}_M$, the cyclic group of $M$ elements.
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A. S. Holevo · 1973
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S. Sternberg · 1994
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E. Bagan, M. Baig, A. Brey, R. Muñoz-Tapia, and R. Tarrach · 2001
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Aligning reference frames with quantum states
E. Bagan, M. Baig, and R. Muñoz-Tapia · 2001
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S. D. Bartlett and H. M. Wiseman · 2003
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E. Bagan, M. Baig, and R. Muñoz-Tapia · 2004
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Efficient use of quantum resources for the transmission of a reference frame
G. Chiribella, G. M. D’Ariano, P. Perinotti, and M. F. Sacchi · 2004
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J. A. Vaccaro, F. Anselmi, H. M. Wiseman, and K. Jacobs · 2008
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Entanglement theory and the second law of thermodynamics
F. G. S. L. Brandão and M. B. Plenio · 2008
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Quantum communication using a bounded-size quantum reference frame
S. D. Bartlett, T. Rudolph, R. W. Spekkens, and P. S. Turner · 2009
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Measuring the quality of a quantum reference frame: The relative entropy of frameness
G. Gour, I. Marvian, and R. W. Spekkens · 2009
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Probability Theory and Examples
R. Durrett · 2010
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