Proposal for Remotely Realizing Multi-qubit Controlled-Phase Gates

Wang, Dong; Liu, Ye

doi:10.1007/s10773-013-1815-9

Cited by 4 publications

(3 citation statements)

References 23 publications

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“…( 44)-(47) such that or its conjugate W 0 N−2 10;100 N−2 . Therefore, if the ϕ-parameters in (44)-( 47) are such that 11 . Therefore, if the ϕ-parameters in (44)-( 47) are such that (41) -( 43) and one of equations, respectively, (48), (50) or (52) for the ϕ-parameters.…”

Section: B Turning Matrix Elements To Zeromentioning

confidence: 99%

“…(i, j) ∈ {(2, 3), (2, 5), (2, 8), (3,5), (3,8), (4,6), (4, 7), (4, 9), (4, 10), (4,11), (5,8), (69) (6, 7), (6, 9), (6, 10), (6,11), (7, 9), (7, 10), (7,11), (9,10), (9,11), (10,11)}.…”

Section: Appendix: Unitary Transformation As a Tool For Manipu-lating...mentioning

confidence: 99%

“…Basic quantum algorithms and their implementations in quantum information theory can be found in book [8]. The research on realization of quantum gates goes further to work out the effective remote control of unitary operations [9,10], such as the multi-qubit controlled-phase gates [11].…”

Section: Introductionmentioning

confidence: 99%

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Operations with elements of transferred density matrix via unitary transformations at receiver side

Zenchuk

2018

Preprint

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Using the tool of unitary transformations of the extended receiver we perform simple operations with the non-diagonal elements of the initial sender's density matrix after their transferring to the receiver. These operations are following: turning some matrix elements to zero, rearranging the matrix elements and preparing their linear combinations with required coefficients. We also propose a protocol for solving a system of linear algebraic equations with a system of two equations as an example. Such operations are numerically simulated on the basis of 42-node spin-1/2 chain with the two-qubit sender and receiver.

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Section: B Turning Matrix Elements To Zeromentioning

confidence: 99%

“…(i, j) ∈ {(2, 3), (2, 5), (2, 8), (3,5), (3,8), (4,6), (4, 7), (4, 9), (4, 10), (4,11), (5,8), (69) (6, 7), (6, 9), (6, 10), (6,11), (7, 9), (7, 10), (7,11), (9,10), (9,11), (10,11)}.…”

Section: Appendix: Unitary Transformation As a Tool For Manipu-lating...mentioning

confidence: 99%

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Operations with elements of transferred density matrix via unitary transformations at receiver side

Zenchuk

2018

Preprint

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Universal Controlled-Phase Gates Between Distant Atoms Separately Trapped in Thermal Cavities

Wang

Liu

2014

Int J Theor Phys

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Implementation of a Toffoli gate using an array of coupled cavities in a single step

Cao

Wang

Liu

et al. 2018

Sci Rep

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The Toffoli gate (controlled-controlled-NOT gate) is one typical three-qubit gate, it plus a Hadamard gate form a universal set of gates in quantum computation. We present an efficient method to implement the Toffoli gate using an array of coupled cavities with one three-level atom in each cavity. The large detuning between atoms and classical (quantum) fields plays an important role and the gate is implemented in one-step. The quantum information is encoded into the low-lying states of identical atoms and it is convenient to address qubit individually. Based on the Markovian master equation, it is shown that the scheme to implement the Toffoli gate is robust against the decoherence.

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Proposal for Remotely Realizing Multi-qubit Controlled-Phase Gates

Cited by 4 publications

References 23 publications

Operations with elements of transferred density matrix via unitary transformations at receiver side

Operations with elements of transferred density matrix via unitary transformations at receiver side

Universal Controlled-Phase Gates Between Distant Atoms Separately Trapped in Thermal Cavities

Implementation of a Toffoli gate using an array of coupled cavities in a single step

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