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Title: Multiqubit tunable phase gate of one qubit simultaneously controlling n qubits in a cavity

Abstract

We propose how to realize a multiqubit tunable phase gate of one qubit simultaneously controlling n qubits with four-level quantum systems in a cavity or coupled to a resonator. Each of the n two-qubit controlled-phase (cp) gates involved in this multiqubit phase gate has a shared control qubit but a different target qubit. In this proposal, the two lowest levels of each system represent the two logical states of a qubit while the two higher-energy intermediate levels are used for the gate implementation. The method presented here operates essentially by creating a single photon through the control qubit, which then induces a phase shift to the state of each target qubit. The phase shifts on each target qubit can be adjusted by changing the Rabi frequencies of the pulses applied to the target qubit systems. The operation time for the gate implementation is independent of the number of qubits, and neither adjustment of the qubit level spacings nor adjustment of the cavity mode frequency during the gate operation is required by this proposal. It is also noted that this approach can be applied to implement certain types of significant multiqubit phase gates (e.g., the multiqubit phase gate consisting of nmore » two-qubit cp gates which are key elements in quantum Fourier transforms). A possible physical implementation of our approach is presented. Our proposal is quite general and can be applied to physical systems such as various types of superconducting devices coupled to a resonator and trapped atoms in a cavity.« less

Authors:
 [1];  [1];  [1]
  1. Advanced Science Institute, RIKEN, Wako-Shi, Saitama 351-0198 (Japan)
Publication Date:
OSTI Identifier:
21528855
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.82.062326; (c) 2010 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; CAVITY RESONATORS; CONTROL; FOURIER TRANSFORMATION; IMPLEMENTATION; PHASE SHIFT; PHOTONS; PROPOSALS; PULSES; QUBITS; SUPERCONDUCTING DEVICES; TRAPPING; BOSONS; ELECTRONIC EQUIPMENT; ELEMENTARY PARTICLES; EQUIPMENT; INFORMATION; INTEGRAL TRANSFORMATIONS; MASSLESS PARTICLES; QUANTUM INFORMATION; RESONATORS; TRANSFORMATIONS

Citation Formats

Chuiping, Yang, Physics Department, University of Michigan, Ann Arbor, Michigan 48109-1040, Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, Shibiao, Zheng, Department of Physics and State Key Laboratory Breeding Base of Photocatalysis, Fuzhou University, Fuzhou 350002, Nori, Franco, and Physics Department, The University of Michigan, Ann Arbor, Michigan 48109-1040. Multiqubit tunable phase gate of one qubit simultaneously controlling n qubits in a cavity. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.062326.
Chuiping, Yang, Physics Department, University of Michigan, Ann Arbor, Michigan 48109-1040, Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, Shibiao, Zheng, Department of Physics and State Key Laboratory Breeding Base of Photocatalysis, Fuzhou University, Fuzhou 350002, Nori, Franco, & Physics Department, The University of Michigan, Ann Arbor, Michigan 48109-1040. Multiqubit tunable phase gate of one qubit simultaneously controlling n qubits in a cavity. United States. doi:10.1103/PHYSREVA.82.062326.
Chuiping, Yang, Physics Department, University of Michigan, Ann Arbor, Michigan 48109-1040, Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, Shibiao, Zheng, Department of Physics and State Key Laboratory Breeding Base of Photocatalysis, Fuzhou University, Fuzhou 350002, Nori, Franco, and Physics Department, The University of Michigan, Ann Arbor, Michigan 48109-1040. Wed . "Multiqubit tunable phase gate of one qubit simultaneously controlling n qubits in a cavity". United States. doi:10.1103/PHYSREVA.82.062326.
@article{osti_21528855,
title = {Multiqubit tunable phase gate of one qubit simultaneously controlling n qubits in a cavity},
author = {Chuiping, Yang and Physics Department, University of Michigan, Ann Arbor, Michigan 48109-1040 and Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036 and State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062 and Shibiao, Zheng and Department of Physics and State Key Laboratory Breeding Base of Photocatalysis, Fuzhou University, Fuzhou 350002 and Nori, Franco and Physics Department, The University of Michigan, Ann Arbor, Michigan 48109-1040},
abstractNote = {We propose how to realize a multiqubit tunable phase gate of one qubit simultaneously controlling n qubits with four-level quantum systems in a cavity or coupled to a resonator. Each of the n two-qubit controlled-phase (cp) gates involved in this multiqubit phase gate has a shared control qubit but a different target qubit. In this proposal, the two lowest levels of each system represent the two logical states of a qubit while the two higher-energy intermediate levels are used for the gate implementation. The method presented here operates essentially by creating a single photon through the control qubit, which then induces a phase shift to the state of each target qubit. The phase shifts on each target qubit can be adjusted by changing the Rabi frequencies of the pulses applied to the target qubit systems. The operation time for the gate implementation is independent of the number of qubits, and neither adjustment of the qubit level spacings nor adjustment of the cavity mode frequency during the gate operation is required by this proposal. It is also noted that this approach can be applied to implement certain types of significant multiqubit phase gates (e.g., the multiqubit phase gate consisting of n two-qubit cp gates which are key elements in quantum Fourier transforms). A possible physical implementation of our approach is presented. Our proposal is quite general and can be applied to physical systems such as various types of superconducting devices coupled to a resonator and trapped atoms in a cavity.},
doi = {10.1103/PHYSREVA.82.062326},
journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 82,
place = {United States},
year = {2010},
month = {12}
}