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Effect of noise on deterministic remote preparation of an arbitrary two-qudit state by using a four-qudit \(\chi\)-type state as the quantum channel. (English) Zbl 1450.81019

Summary: We present a protocol for remote preparation of an arbitrary two-qudit state by using a four-qudit \(\chi \)-type state as the quantum channel via positive operator-valued measurement. We first propose the protocol for remote preparation of an arbitrary two-qudit state via positive operator-valued measurement in noiseless environment and then discuss the protocol in noisy environments. Four important quantum decoherence noise models, the dephasing noise, the qudit-flip noise, the qudit-phase-flip noise and the depolarizing noise, are considered in our protocol. The output states and the fidelities of remote state preparation in four different types of quantum noises are presented. It is shown the protocol for remote state preparation via positive operator-valued measurement with \(\chi \)-type state has the advantage of transmitting less particles for remote preparing an arbitrary two-qudit state. The fidelities of remote state preparation depend on the coefficients of original two-qudit state and the decoherence rates of the noise models.

MSC:

81P48 LOCC, teleportation, dense coding, remote state operations, distillation
81P47 Quantum channels, fidelity
81P15 Quantum measurement theory, state operations, state preparations
46G10 Vector-valued measures and integration
81S22 Open systems, reduced dynamics, master equations, decoherence
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