Effect of noise on remote preparation of an arbitrary single‐qubit state

Abstract

The effect of noise on the transmission of quantum state has attached much interest recently. Here we investigate the effect of different types of quantum noise on deterministic exact remote preparation of an arbitrary single‐qubit state. Four types of noise which usually encountered in application of quantum remote state preparation, including bit‐flipping, phase‐flipping, depolarizing and amplitude damping, are considered. The average fidelities of remote state preparation for any combinations of noise are calculated. It is shown that more fidelity can be achieved via less entanglement in single‐qubit remote preparation when part or all of the entangled qubits are subjected to amplitude damping noise. It is shown that in several situations more noise may leading to more fidelity in remote state preparation. Moreover, we discuss the effect of noise on probabilistic remote state preparation.

Perfect NOT and conjugate transformations

“…As for preparation of quantum state, two examples are given in refs. [23,24]. It even plays a vital role in deciding if a theory of entanglement-entropy is renormalizable [25].…”

Phase Calibration of the Parametric Gate in the Superconducting Circuits

“…The current status of quantum computation is still in the NISQ era, [1] and a necessary step forward is to find more accurate gates so that quantum error correction can be performed and finally to realize fault-tolerant quantum computer. [2][3][4][5] In a superconducting quantum system, the protocol of the quantum gate is closely related to the architecture of the quantum chip, especially the two-qubit gate. [6][7][8] The schemes include methods relying on the direct capacitive coupling, the parametric modulation, and the all-microwave control, while each protocol has its pros and cons.…”