Quantum teleportation via maximum-confidence quantum measurements

Abstract

We investigate the problem of teleporting unknown qudit states via pure quantum channels with nonmaximal Schmidt rank. This process is mapped to the problem of discriminating among nonorthogonal symmetric states which are linearly dependent and equally likely. It is shown that by applying an optimized maximum-confidence (MC) measurement for accomplishing this task, one reaches the maximum possible teleportation fidelity after a conclusive event in the discrimination process, which in turn occurs with the maximum success probability. In this case, such fidelity depends only on the Schmidt rank of the channel and it is larger than the optimal one achieved, deterministically, by the standard teleportation protocol. Furthermore, we show that there are quantum channels for which it is possible to apply a k-stage sequential MC measurement in the discrimination process such that a conclusive event at any stage leads to a teleportation fidelity above the aforementioned optimal one and, consequently, increases the overall success probability of teleportation with a fidelity above this limit.

14 pages, 6 figures

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• Deterministic and probabilistic entanglement swapping of nonmaximally entangled states assisted by optimal quantum state discrimination
• Experimental quantum state discrimination using the optimal fixed rate of inconclusive outcomes strategy
• Enhanced discrimination of high-dimensional quantum states by concatenated optimal measurement strategies
• Optimal probabilistic dense coding schemes
• Parametric separation of symmetric pure quantum states
• Probabilistic Teleportation of a Single Qubit: Unearthing New W-Class of States
• Coherence based on positive operator-valued measures for standard and concatenated quantum state discrimination with inconclusive results
• Experimental optimal discrimination of $N$ states of a qubit with fixed rates of inconclusive outcomes
• Training quantum measurement devices to discriminate unknown non-orthogonal quantum states
• Factorizability of optimal quantum sequence discrimination under maximum-confidence measurements