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Title

Simple derivation of the FongWandzura pulse sequence.

Creator

Zeuch, Daniel, Bonesteel, N. E.

Abstract/Description

We give an analytic construction of a class of twoqubit gate pulse sequences that act on five of the six spin1/2 particles used to encode a pair of exchangeonly threespin qubits. Within this class, the problem of gate construction reduces to that of finding a smaller sequence that acts on four spins and is subject to a simple constraint. The optimal sequence satisfying this constraint yields a twoqubit gate sequence equivalent to that found numerically by Fong and Wandzura. Our...
Show moreWe give an analytic construction of a class of twoqubit gate pulse sequences that act on five of the six spin1/2 particles used to encode a pair of exchangeonly threespin qubits. Within this class, the problem of gate construction reduces to that of finding a smaller sequence that acts on four spins and is subject to a simple constraint. The optimal sequence satisfying this constraint yields a twoqubit gate sequence equivalent to that found numerically by Fong and Wandzura. Our construction is sufficiently simple that it can be carried out entirely with pen, paper, and knowledge of a few basic facts about quantum spin.
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Date Issued

20160125

Identifier

FSU_libsubv1_wos_000368983200001, 10.1103/PhysRevA.93.010303

Format

Citation


Title

Cpt Tests With The Antihydrogen Molecular Ion.

Creator

Myers, Edmund G.

Abstract/Description

Highprecision radiofrequency, microwave, and infrared spectroscopic measurements of the antihydrogen molecular ion (H) over bar ()(2) ((p) over bar(p) over bar ppe(+)) compared with its normal matter counterpart provide direct tests of the CPT theorem. The sensitivity to a difference between the positronantiproton and electronproton mass ratios and to a difference between the positronantiproton and electronproton hyperfine interactions can exceed that obtained by comparing antihydrogen...
Show moreHighprecision radiofrequency, microwave, and infrared spectroscopic measurements of the antihydrogen molecular ion (H) over bar ()(2) ((p) over bar(p) over bar ppe(+)) compared with its normal matter counterpart provide direct tests of the CPT theorem. The sensitivity to a difference between the positronantiproton and electronproton mass ratios and to a difference between the positronantiproton and electronproton hyperfine interactions can exceed that obtained by comparing antihydrogen with hydrogen by several orders of magnitude. Practical schemes are outlined for measurements on a single (H) over bar ()(2) ion in a cryogenic Penning trap that use nondestructive state identification by measuring the cyclotron frequency and boundpositron spinflip frequency and also for creating an (H) over bar ()(2) ion and initializing its quantum state.
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Date Issued

20180702

Identifier

FSU_libsubv1_wos_000436935800001, 10.1103/PhysRevA.98.010101

Format

Citation


Title

Systematically Generated Twoqubit Anyon Braids.

Creator

Carnahan, Caitlin, Zeuch, Daniel, Bonesteel, N. E.

Abstract/Description

Fibonacci anyons are nonAbelian particles for which braiding is universal for quantum computation. Reichardt has shown how to systematically generate nontrivial braids for three Fibonacci anyons which yield unitary operations with offdiagonal matrix elements that can be made arbitrarily small in a particular natural basis through a simple and efficient iterative procedure. This procedure does not require brute force search, the SolovayKitaev method, or any other numerical technique, but...
Show moreFibonacci anyons are nonAbelian particles for which braiding is universal for quantum computation. Reichardt has shown how to systematically generate nontrivial braids for three Fibonacci anyons which yield unitary operations with offdiagonal matrix elements that can be made arbitrarily small in a particular natural basis through a simple and efficient iterative procedure. This procedure does not require brute force search, the SolovayKitaev method, or any other numerical technique, but the phases of the resulting diagonal matrix elements cannot be directly controlled. We show that despite this lack of control the resulting braids can be used to systematically construct entangling gates for two qubits encoded by Fibonacci anyons.
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Date Issued

20160520

Identifier

FSU_libsubv1_wos_000376243800001, 10.1103/PhysRevA.93.052328

Format

Citation