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Chinese Physics B

Three-qubit quantum-gate operation with an SQUID in a cavity

Hui-Min Shi, Ya‐Fei Yu, Zhi‐Ming Zhang

Published Jun 1, 2012• 3 citations
Publisher

Abstract

We propose a method of realizing a three-qubit quantum gate with a superconducting quantum interference device (SQUID) in a cavity. In this proposal, the gate operation involves the SQUID ground-states and the Fock states of cavity modes and ĉ. The two field-modes act as the controlling qubits, and the two SQUID states form the target qubit. Since only the metastable lower levels are involved in the gate operation, the gate is not affected by the SQUID decay rates.

DOI
10.1088/1674-1056/21/6/064205

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We propose an approach to realize an nnn-qubit controlled-UUU gate with superconducting quantum interference devices (SQUIDs) in cavity QED. In this approach, the two lowest levels of a SQUID represent the two logical states of a qubit while a higher-energy intermediate level serves the gate manipulation. Our method operates essentially by creating a single photon through one of the control SQUIDs and then performing an arbitrary unitary transformation on the target SQUID with the assistance of the cavity photon. In addition, we show that the method can be applied to implement an nnn-qubit controlled-UUU gate with atomic qubits in cavity QED.
We present a scheme to realize the basic two-qubit logic gates such as the quantum phase gate and SWAP gate using a detuned microwave cavity interacting with three-level superconducting-quantum-interference-device (SQUID) qubit(s), by placing SQUID(s) in a two-mode microwave cavity and using adiabatic passage methods. In this scheme, the two logical states of the qubit are represented by the two lowest levels of the SQUID and the cavity fields are treated as quantized. Compared with the previous method, the complex procedures of adjusting the level spacing of the SQUID and applying the resonant microwave pulse to the SQUID to create transformation are not required. Based on superconducting device with relatively long decoherence time and simplified operation procedure, the gates operate at a high speed, which is important in view of decoherence.
A novel scheme is proposed for realizing quantum entanglement, quantum information transfer and a set of universal quantum gates with superconducting-quantum-interference-device (SQUID) qubits in cavity QED. In the scheme, the two logical states of a qubit are the two lowest levels of the SQUID. An intermediate level of the SQUID is utilized to facilitate coherent control and manipulation of quantum states of the qubits. The method presented here does not create finite intermediate-level population or cavity-photon population during the operations. Thus, decoherence due to spontaneous decay from the intermediate levels is minimized and the requirement on the quality factor of the cavity is greatly loosened.
A theory scheme was proposed for implementing a Toffoli gate with three-level structure superconducting quantum-interference devices(SQUID),based on the cavity quantum electrodynamics(CQED).In this proposal,quantum information was encoded into the two lower levels of a SQUID while a higher level serves as the gate manipulation.Applying the coupling of the cavity field with a SQUID,which was driven by a classical microwave pulse to control the evolution of quantum state,the scheme could be extended to achieve N-qubit Toffoli gate.And,the experimental feasibility of Toffoli gate was disscussed,and the total operation time of four-qubit Toffoli gate was computed only 30 nanometers,which was much shorter than the decay time of the cavity mode or the energy relaxation time of the higher level.And the increasing rate of the gate response time became slow with the increase of the qubit number.
An alternative approach is proposed to realize an n -qubit Toffoli gate with superconducting quantum-interference devices (SQUIDs) in cavity quantum electrodynamics (QED). In the proposal, we represent two logical gates of a qubit with the two lowest levels of a SQUID while a higher-energy intermediate level of each SQUID is utilized for the gate manipulation. During the operating process, because the cavity field is always in vacuum state, the requirement on the cavity is greatly loosened and there is no transfer of quantum information between the cavity and SQUIDs.