Optimal partial estimation of quantum states from several copies

Abstract

We derive analytical formula for the optimal trade-off between the mean estimation fidelity and the mean fidelity of the qubit state after a partial measurement on N identically prepared qubits. We also conjecture analytical expression for the optimal fidelity trade-off in case of a partial measurement on N identical copies of a d-level system.

5 pages, 2 figures, RevTeX4

References in corpus (10)

• Quantum cloning and the capacity of the Pauli channel
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• Optimal Copying of One Quantum Bit
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Cited by in corpus (6)

• Theory of single-shot phase contrast imaging in spinor Bose-Einstein condensates
• Information-Disturbance Tradeoff in Quantum State Discrimination
• Non-unity gain minimal disturbance measurement
• Scavenging quantum information: Multiple observations of quantum systems
• Information-disturbance tradeoff for spin coherent state estimation
• Optimal multicopy asymmetric Gaussian cloning of coherent states