ShengLi Zhang et al 2008 J. Phys. A: Math. Theor. 41 035309 doi:10.1088/1751-8113/41/3/035309
Quantum circuit implementation of the optimal information–disturbance tradeoff of maximally entangled states
ShengLi Zhang1,2, XuBo Zou1, Ke Li1, ChenHui Jin2 and GuangCan Guo1
Show affiliationsWe give a direct derivation for the information–disturbance tradeoff in estimating a maximally entangled state, which was first obtained by Sacchi (2006 Phys. Rev. Lett. 96 220502) in terms of the covariant positive operator valued measurement (POVM) and Jamiołkowski's isomorphism. We find that, the Cauchy–Schwarz inequality, which is one of the most powerful tools in deriving the tradeoff for a single-particle pure state still plays a key role in the case of the maximal entanglement estimation. Our result shows that the inequality becomes equality when the optimal tradeoff is achieved. Moreover, we demonstrate that such a tradeoff is physically achievable with a quantum circuit that only involves single- and two-particle logic gates and single-particle measurements.
- PACS
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03.67.Lx Quantum computation architectures and implementations
03.67.Mn Entanglement measures, witnesses, and other characterizations
03.65.Ta Foundations of quantum mechanics; measurement theory
- MSC
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81P15 Quantum measurement theory
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
81P10 Logical foundations of quantum mechanics; quantum logic (See also 03G12, 06C15)
- Subjects
- Dates
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Issue 3 (25 January 2008)
Received 10 August 2007, in final form 26 November 2007
Published 4 January 2008
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Quantum circuit implementation of the optimal information–disturbance tradeoff of maximally entangled states
ShengLi Zhang et al 2008 J. Phys. A: Math. Theor. 41 035309
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