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Acta Physica Sinica

Using Josephson charge qubits system to realize the transfer of a special kind of quantum state

Wu Shi-Hai, Ming‐Liang Hu, Li Ji, Xiao-Qiang Xi

Published Jan 1, 2011• 3 citations
Publisher

Abstract

A type of Josephson charge qubit circuit is constructed in this paper, and properties of four-qubit quantum state transfer through this system is also investigated. By modulating the external magnetic flux, we show that ideal transfer of an excited state 1〉 from the first qubit to the fourth qubit can be realized for both homogeneous and inhomogeneous transmission channels. Moreover, the average fidelity of state transfer across this system is also analyzed, the result revealed that it cannot be used to transfer an arbitrary quantum state.

DOI
10.7498/aps.60.010302

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A type of Josephson charge qubit circuit is constructed in this paper, and properties of four-qubit quantum state transfer through this system is also investigated. By modulating the external magnetic flux, we show that ideal transfer of an excited state 1〉 from the first qubit to the fourth qubit can be realized for both homogeneous and inhomogeneous transmission channels. Moreover, the average fidelity of state transfer across this system is also analyzed, the result revealed that it cannot be used to transfer an arbitrary quantum state.
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We propose a hybrid quantum circuit with both charge and flux qubits connected to a large Josephson junction that gives rise to an effective interqubit coupling controlled by the external magnetic flux. This switchable interqubit coupling can be used to transfer back and forth an arbitrary superposition state between the charge qubit and the flux qubit working at the optimal point. The proposed hybrid circuit provides a promising quantum memory because the flux qubit at the optimal point can store the tranferred quantum state for a relatively long time.
Quantum-state engineering, i.e., active control over the coherent dynamics of suitable quantum-mechanical systems, has become a fascinating prospect of modern physics. With concepts developed in atomic and molecular physics and in the context of NMR, the field has been stimulated further by the perspectives of quantum computation and communication. Low-capacitance Josephson tunneling junctions offer a promising way to realize quantum bits (qubits) for quantum information processing. The article reviews the properties of these devices and the practical and fundamental obstacles to their use. Two kinds of device have been proposed, based on either charge or phase (flux) degrees of freedom. Single- and two-qubit quantum manipulations can be controlled by gate voltages in one case and by magnetic fields in the other case. Both kinds of device can be fabricated with present technology. In flux qubit devices, an important milestone, the observation of superpositions of different flux states in the system eigenstates, has been achieved. The Josephson charge qubit has even demonstrated coherent superpositions of states readable in the time domain. There are two major problems that must be solved before these devices can be used for quantum information processing. One must have a long phase coherence time, which requires that external sources of dephasing be minimized. The review discusses relevant parameters and provides estimates of the decoherence time. Another problem is in the readout of the final state of the system. This issue is illustrated with a possible realization by a single-electron transistor capacitively coupled to the Josephson device, but general properties of measuring devices are also discussed. Finally, the review describes how the basic physical manipulations on an ideal device can be combined to perform useful operations.