Geometric Entangling Gates in Decoherence-Free Subspaces with Minimal Requirements

Feng, Xun‐Li; Wu, Chunfeng; Sun, Hui; Oh, C. H.

doi:10.1103/physrevlett.103.200501

Cited by 58 publications

(63 citation statements)

References 22 publications

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“…Since unconventional GQC in DFSs shares all the robustness of conventional GQC in DFSs while avoiding the additional operations required to cancel the dynamical phases, realizing unconventional GQC in DFSs is of more practical importance. In fact, some works have made such attempts in the past few years [17][18][19]. However, these works either adiabatically realized unconventional GQC in DFSs [17] or only nonadiabatically realized a twoqubit unconventional geometric gate in DFSs [18,19].…”

Section: Introductionmentioning

confidence: 99%

“…Considering that these strategies are not directly compatible with geometric gates, extra efforts are certainly needed to make the combination successful. Despite this, impressive progress has been made in this direction [13,[15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] and many works have been done to realize GQC in decoherence-free subspaces (DFSs) [13,[15][16][17][18][19][20][21][22][23][24]. Among these works, most of them realized conventional GQC in DFSs [13,15,16,[20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

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Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases

Zhao

Tong

2016

Phys. Rev. A

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Nonadiabatic geometric quantum computation in decoherence-free subspaces has received increasing attention due to the merits of its high-speed implementation and robustness against both control errors and decoherence. However, all the previous schemes in this direction have been based on the conventional geometric phases, of which the dynamical phases need to be removed. In this paper, we put forward a scheme of nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases, of which the dynamical phases do not need to be removed. Specifically, by using three physical qubits undergoing collective dephasing to encode one logical qubit, we realize a universal set of geometric gates nonadiabatically and unconventionally. Our scheme not only maintains all the merits of nonadiabatic geometric quantum computation in decoherence-free subspaces, but also avoids the additional operations required in the conventional schemes to cancel the dynamical phases.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases

Zhao

Tong

2016

Phys. Rev. A

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“…As a starting point, we describe the derivation of the unconventional geometric phase based on the displacement operator along an arbitrary path in the phase space [16,17,23,26,27]. For a displacement operator of the bosonic field,…”

Section: The Total Displacement Operator and The Unconventional mentioning

confidence: 99%

“…This is trivial since it is a global phase. To get the non-trivial unconventional geometric phase, one can introduce a third level as an auxiliary [18], which is not governed by Hamiltonian (5) and can be used for quantum computation by means of this non-trivial unconventional geometric phase [16,18,19,23,26,27].…”

Section: The Total Displacement Operator and The Unconventional mentioning

confidence: 99%

“…Different from the previous schemes involving the unconventional geometric phase [16,18,19,23,26,27] for quantum computation, our scheme focuses on generating the cat states based on the displacement operators in a geometric fashion, which guarantees the robustness of the cat states of the NAMR. Moreover, in comparison with a recent proposal [4] in which the cat state is created in an optomechanical cavity, the cat state generated in our hybrid system composed of a charge qubit and a NAMR can be more 'macroscopic'.…”

Section: Introductionmentioning

confidence: 99%

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Generating the Schrödinger cat state in a nanomechanical resonator coupled to a charge qubit

et al. 2014

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We propose a scheme for generating the Schrödinger cat state based on geometric operations by a nanomechanical resonator coupled to a superconducting charge qubit. The charge qubit, driven by two strong classical fields, interacts with a high-frequency phonon mode of the nanomechanical resonator. During the operation, the charge qubit undergoes no real transitions, while the phonon mode of the nanomechanical resonator is displaced along different paths in the phase space, dependent on the states of the charge qubit. This generates the entangled cat state between the NAMR and charge qubit, and the cat state for the superposition of NAMR can be achieved after some operations applied on this entangled cat state. The robustness of the scheme is justified by considering noise from environment, and the feasibility of the scheme is discussed.

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Geometric Phase for Two Entangled Spin-1/2 Particles in a Magnetic Field

Zhang

2010

Int J Theor Phys

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In this paper the geometric phases of two entangled spin-1/2 particles in the presence and absence of spin-spin interaction are calculated. We also discuss the geometric phases when only one of the two particles is affected by the external magnetic field. Our results show that the geometric phase in this case is not equal to that of a single particle under the same evolution condition because of the effect of entanglement. We further study the entanglement dependence of the noncyclic geometric phases in the interacting and noninteracting spins under a time-independent uniform magnetic field. A general entanglementdependence geometric phase is formulated.

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Geometric Entangling Gates in Decoherence-Free Subspaces with Minimal Requirements

Cited by 58 publications

References 22 publications

Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases

Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases

Generating the Schrödinger cat state in a nanomechanical resonator coupled to a charge qubit

Geometric Phase for Two Entangled Spin-1/2 Particles in a Magnetic Field

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