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- W2161567503 abstract "Institute of Optics, University of Rochester, Rochester, USA(Dated: October 10, 2014)In practical applications of quantum information science, quantum systems can have non-negligible interactions with the environment, and this generally degrades the power of quantumprotocols as it introduces noise. Counteracting this by appropriately measuring the environment(and therefore projecting its state) would require access all the necessary degrees of freedom, whichin practice can be far too hard to achieve. To better understand one’s limitations, we calculate theupper bound of optimal quantum erasure (i.e. the highest recoverable visibility, or coherence),when erasure is realistically limited to an accessible subspace of the whole environment. In theparticular case of a two-dimensional accessible environment, the bound is given by the sub- delityof two particular states of the inaccessible environment, which opens a new window into under-standing the connection between correlated systems. We also provide an analytical solution for athree-dimensional accessible environment. This result provides also an interesting operational inter-pretation of sub- delity. We end with a statistical analysis of the expected visibility of an optimallyerased random state and we nd that i) if one picks a random pure state of 2 qubits, there is anoptimal measurement that allows one to distill a 1-qubit state with almost 90% visibility and ii)if one picks a random pure state of 2 qubits in an inaccessible environment, there is an optimalmeasurement that allows one to distill a 1-qubit state with almost twice its initial visibility.INTRODUCTION" @default.
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- W2161567503 date "2014-10-08" @default.
- W2161567503 modified "2023-09-27" @default.
- W2161567503 title "The optimal bound of quantum erasure with limited means" @default.
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