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Title: Efficient one-step generation of large cluster states with solid-state circuits

Abstract

Highly entangled states called cluster states are a universal resource for measurement-based quantum computing (QC). Here we propose an efficient method for producing large cluster states using superconducting quantum circuits. We show that a large cluster state can be efficiently generated in just one step by turning on the interqubit coupling for a short time. Because the interqubit coupling is only switched on during the time interval for generating the cluster state, our approach is also convenient for preparing the initial state for each qubit and for implementing one-way QC via single-qubit measurements. Moreover, the cluster state is robust against parameter variations.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [3];  [7]
  1. Department of Physics and Surface Physics Laboratory (National Key Laboratory), Fudan University, Shanghai 200433 (China)
  2. (RIKEN), Wako-shi 351-0198 (Japan)
  3. Frontier Research System, The Institute of Physical and Chemical Research (RIKEN), Wako-shi 351-0198 (Japan)
  4. (JST), Kawaguchi, Saitama 332-0012 (Japan)
  5. (China)
  6. Corporate R and D Center, Toshiba Corporation, Saiwai-ku, Kawasaki 212-8582 (Japan)
  7. (United States)
Publication Date:
OSTI Identifier:
20982488
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.052319; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INTEGRATED CIRCUITS; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUBITS; SUPERCONDUCTIVITY

Citation Formats

You, J. Q., Frontier Research System, The Institute of Physical and Chemical Research, Wang, Xiang-bin, CREST, Japan Science and Technology Agency, Department of Physics, Tsinghua University, Beijing 100084, Tanamoto, Tetsufumi, Nori, Franco, and Center for Theoretical Physics, Physics Department, Center for the Study of Complex Systems, University of Michigan, Ann Arbor, Michigan 48109-1040. Efficient one-step generation of large cluster states with solid-state circuits. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.052319.
You, J. Q., Frontier Research System, The Institute of Physical and Chemical Research, Wang, Xiang-bin, CREST, Japan Science and Technology Agency, Department of Physics, Tsinghua University, Beijing 100084, Tanamoto, Tetsufumi, Nori, Franco, & Center for Theoretical Physics, Physics Department, Center for the Study of Complex Systems, University of Michigan, Ann Arbor, Michigan 48109-1040. Efficient one-step generation of large cluster states with solid-state circuits. United States. doi:10.1103/PHYSREVA.75.052319.
You, J. Q., Frontier Research System, The Institute of Physical and Chemical Research, Wang, Xiang-bin, CREST, Japan Science and Technology Agency, Department of Physics, Tsinghua University, Beijing 100084, Tanamoto, Tetsufumi, Nori, Franco, and Center for Theoretical Physics, Physics Department, Center for the Study of Complex Systems, University of Michigan, Ann Arbor, Michigan 48109-1040. Tue . "Efficient one-step generation of large cluster states with solid-state circuits". United States. doi:10.1103/PHYSREVA.75.052319.
@article{osti_20982488,
title = {Efficient one-step generation of large cluster states with solid-state circuits},
author = {You, J. Q. and Frontier Research System, The Institute of Physical and Chemical Research and Wang, Xiang-bin and CREST, Japan Science and Technology Agency and Department of Physics, Tsinghua University, Beijing 100084 and Tanamoto, Tetsufumi and Nori, Franco and Center for Theoretical Physics, Physics Department, Center for the Study of Complex Systems, University of Michigan, Ann Arbor, Michigan 48109-1040},
abstractNote = {Highly entangled states called cluster states are a universal resource for measurement-based quantum computing (QC). Here we propose an efficient method for producing large cluster states using superconducting quantum circuits. We show that a large cluster state can be efficiently generated in just one step by turning on the interqubit coupling for a short time. Because the interqubit coupling is only switched on during the time interval for generating the cluster state, our approach is also convenient for preparing the initial state for each qubit and for implementing one-way QC via single-qubit measurements. Moreover, the cluster state is robust against parameter variations.},
doi = {10.1103/PHYSREVA.75.052319},
journal = {Physical Review. A},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
  • We present a scalable solid-state system in which the superconducting charge qubits are coupled with a nanomechanical resonator (NAMR) to achieve highly entangled cluster states, which are responsible for one-way quantum computing via single-qubit measurements. Since the NAMR can play the essential role of the data bus, the long-range interactions among the qubits can occur. Therefore, without using the interacting picture we can directly obtain the long-range Ising-like unitary operator U{sub z}({lambda})=exp[i{lambda}S{sub z}{sup 2}] with S{sub z} the collective spin operator in z direction and {lambda} a parameter, which is insensitive to the thermal state of the NAMR. Based onmore » this unitary operator, a set of highly entangled cluster states can be produced by efficient one-step generation. Moreover, the robustness of the highly entangled cluster states with respect to unavoidable parameter variations is also demonstrated.« less
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  • Here we report on theoretical research in photonic cluster-state computing. Finding optimal schemes of generating non-classical photonic states is of critical importance for this field as physically implementable photon-photon entangling operations are currently limited to measurement-assisted stochastic transformations. A critical parameter for assessing the efficiency of such transformations is the success probability of a desired measurement outcome. At present there are several experimental groups that are capable of generating multi-photon cluster states carrying more than eight qubits. Separate photonic qubits or small clusters can be fused into a single cluster state by a probabilistic optical CZ gate conditioned on simultaneousmore » detection of all photons with 1/9 success probability for each gate. This design mechanically follows the original theoretical scheme of cluster state generation proposed more than a decade ago by Raussendorf, Browne, and Briegel. The optimality of the destructive CZ gate in application to linear optical cluster state generation has not been analyzed previously. Our results reveal that this method is far from the optimal one. Employing numerical optimization we have identified that the maximal success probability of fusing n unentangled dual-rail optical qubits into a linear cluster state is equal to 1/2 n-1; an m-tuple of photonic Bell pair states, commonly generated via spontaneous parametric down-conversion, can be fused into a single cluster with the maximal success probability of 1/4 m-1.« less