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arXiv:quant-ph/0406058 · Physical Review A

Preparation of macroscopic quantum superposition states of a cavity field via coupling to a superconducting charge qubit

Yu-xi Liu, L. F. Wei, Franco Nori

Published Jun 28, 2005• 85 citations
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Abstract

We propose how to generate macroscopic quantum superposition states using a microwave cavity containing a superconducting charge qubit. Based on the measurement of charge states, we show that the superpositions of two macroscopically distinguishable coherent states of a single-mode cavity field can be generated by a controllable interaction between a cavity field and a charge qubit. After such superpositions of the cavity field are created, the interaction can be switched off by the classical magnetic field, and there is no information transfer between the cavity field and the charge qubit. We also discuss the generation of the superpositions of two squeezed coherent states.

DOI
10.1103/physreva.71.063820

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We propose how to generate macroscopic quantum superposition states using a microwave cavity containing a superconducting charge qubit. Based on the measurement of charge states, we show that the superpositions of two macroscopically distinguishable coherent states of a single-mode cavity field can be generated by a controllable interaction between a cavity field and a charge qubit. After such superpositions of the cavity field are created, the interaction can be switched off by the classical magnetic field, and there is no information transfer between the cavity field and the charge qubit. We also discuss the generation of the superpositions of two squeezed coherent states.
Based on the measurement of charge states, we show that the superpositions of two macroscopically distinguishable coherent states (Schr\\"odinger cat states) of a single-mode cavity field can be generated by a controllable interaction between a cavity field and a SQUID-based charge qubit. After such cat states of the cavity field are created, the interaction can be switched off by the classical magnetic field through the SQUID, and there is no information transfer between the cavity field and the charge qubit. We also discuss the generation of superpositions of two squeezed coherent states.
The generation of nonclassical states of a radiation field has become increasingly important in the past years given its various applications in quantum communication. It has been recently proposed a way to engineer quantum states using a SQUID charge qubit inside a cavity with a controllable interaction between the cavity field and the charge qubit. Since decoherence is known to affect quantum effects uninterruptedly and decoherence process are working even when the quantum state is being formed, therefore, is interesting to envisage processes through which quantum superpositions are generated as fast as possible. We succeed in linearizing the Hamiltonian of the system through the application of an appropriate unitary transformation and for certain values of the parameters involved, we show that it is possible to obtain specific Hamiltonians. In this work we will use this approach for preparing superposition of two squeezed coherent states.
The generation of nonclassical states of a radiation field has become increasingly important in the past years given its various applications in quantum communication. The feasibility of generating such nonclassical states has been established in several branches of physics such as cavity electrodynamics, trapped ions, quantum dots, atoms inside cavities and so on. In this sense, we will discuss the issue of the generation of nonclassical states in the context of a superconducting qubit in a microcavity. It has been recently proposed a way to engineer quantum states using a SQUID charge qubit inside a cavity with a controllable interaction between the cavity field and the charge qubit. The key ingredients to engineer these quantum states are a tunable gate voltage and a classical magnetic field applied to SQUID. Some models including these ingredients and using some appropriate approximations which allow for the linearization of the interaction and nonclassical states of the field were generated. Since decoherence is known to affect quantum effects uninterruptedly and decoherence process are works even when the quantum state is being formed, therefore, it is interesting to envisage processes through which quantum superpositions are generated as fast as possible. The decoherence effect has been studied and quantified in the context of cavity QED where it is shown that the more quantum is the superposition, more rapidly the environmental effects occur during the process of creating the quantum state. In the latter reference, we have succeeded in linearizing the Hamiltonian through the application of an appropriate unitary transformation and for certain values of the parameters involved, we have showed that it is possible to obtain specific Hamiltonians. In this work we will use such approach for preparing superposition of two squeezed coherent states.
The generation of nonclassical states of a radiation field has become increasingly important in the past years given its various applications in quantum communication. It has been recently proposed a way to engineer quantum states using a SQUID charge qubit inside a cavity with a controllable interaction between the cavity field and the charge qubit. Since decoherence is known to affect quantum effects uninterruptedly and decoherence process are working even when the quantum state is being formed, therefore, is interesting to envisage processes through which quantum superpositions are generated as fast as possible. We succeed in linearizing the Hamiltonian of the system through the application of an appropriate unitary transformation and for certain values of the parameters involved, we show that it is possible to obtain specific Hamiltonians. In this work we will use this approach for preparing superposition of two squeezed coherent states.
We propose a method to create superpositions of two macroscopic quantum states of a single-mode microwave cavity field interacting with a superconducting charge qubit. The decoherence of such superpositions can be determined by measuring either the Wigner function of the cavity field or the charge qubit states. Then the quality factor QQQ of the cavity can be inferred from the decoherence of the superposed states. The proposed method is experimentally realizable within current technology even when the QQQ value is relatively low and the interaction between the qubit and the cavity field is weak.
This paper proposes a method of generating multipartite entanglement through using d.c. superconducting quantum interference devices (SQUID) inside a standing wave cavity. In this scheme, the d.c. SQUID works in the charge region. It is shown that, a large number of important multipartite entangled states can be generated by a controllable interaction between a cavity field and qubits. It is even possible to produce entangled states involving different cavity modes based on the measurement of charge qubits states. After such superpositions states are created, the interaction can be switched off by the classical magnetic field through the SQUID, and there is no information transfer between the cavity field and the charge qubits.