Simulation of n-qubit quantum systems. I. Quantum registers and quantum gates

Radtke, T.; Fritzsche, S.

doi:10.1016/j.cpc.2005.07.006

Cited by 31 publications

(25 citation statements)

References 10 publications

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“…Below, all computations of the transition amplitudes and the quantum measures were carried out by means of the Ratip [35] and Feynman programs [36] that have been developed in our group during the past years.…”

Section: Resultsmentioning

confidence: 99%

Polarization correlation in the two-photon decay of atomic hydrogen: nonlocality versus entanglement

2008

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Abstract. From the work by Perrie et al. [Phys. Rev. Lett. 54, 1790(1985], photon pairs from the 2s 1/2 → 1s 1/2 (two-photon) decay of atomic hydrogen are known to be quantum mechanically correlated. In these experiments, the polarization states of the photons emitted in back-to-back geometry were shown to violate the Bell inequality as a qualitative sign of nonlocality and entanglement. In the present contribution, we analyze how these nonlocal quantum correlations, as given by the violation of the Bell inequality, differ from the concurrence as a true entanglement measure. Results are shown for both quantifiers in dependence of the decay geometry and the initial polarization of the atoms for the 2s 1/2 → 1s 1/2 and 3d 5/2 → 1s 1/2 two-photon decay of atomic hydrogen. These results display the difference between nonlocality and entanglement and, hence, may stimulate further experiments on nonlocal quantum correlations in atomic systems.PACS. 32.10.-f Properties of atoms -31.10.+z Theory of electronic structure, electronic transitions, and chemical binding -03.67.Bg Entanglement production and manipulation -03.65.Ud Entanglement and quantum nonlocality

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Section: Resultsmentioning

confidence: 99%

Polarization correlation in the two-photon decay of atomic hydrogen: nonlocality versus entanglement

2008

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“…With this program, our intention is to provide an easily extendible set of symbolic and numerical utilities, which help shorten some of the typical calculations as they appear frequently in the simulation of quantum registers. In a first version [16], therefore, we provided the tools for creating and manipulating quantum registers, for applying quantum gates on quantum registers, or for analyzing their properties with regard to entanglement, entropy, or their distance from other quantum states [17]. In the present work, we extend these tools to enable the user to deal also with quantum operations.…”

Section: Introductionmentioning

confidence: 95%

Simulation of n-qubit quantum systems. III. Quantum operations

Radtke

Fritzsche

2007

Computer Physics Communications

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“…For an detailed overview of the math and quantum mechanics of quantum information, as well as a lucid exposition of the fundamentals of quantum information in detail, an excellent resource is the canonical textbook of Nielsen and Chuang [32]. For further overview of the simulation of n-qubit systems the overview by Radtke is an excellent supplement to this more limited exposition [18].…”

Section: Overview Of Quantum Informationmentioning

confidence: 99%

“…The FEYNMAN (Maple) [18][19][20][21] program offers interactive simulations on n-qubit quantum registers without restrictions other than available memory and time resources of computation. The QDENSITY (Mathematica) [22] program provides commands to create and analyze quantum circuits.…”

Section: Introductionmentioning

confidence: 99%

Quintuple: A Tool for Introducing Quantum Computing Into the Classroom

Moran

2018

Front. Phys.

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In May 2016 IBM released access to its 5-qubit quantum computer to the scientific community, its "IBM Quantum Experience" since acquiring over 60,000 users from students, educators and researchers around the globe. In the time since the "IBM Quantum Experience" became available, a flurry of research results on 5-qubit systems has been published derived from the platform hardware.Quintuple is an open-source object-oriented Python module implementing the ideal simulation of "IBM's Quantum Experience" hardware. Quintuple quantum algorithms can be programmed and run via a custom language fully compatible with the "IBM's Quantum Experience" or in pure Python. Over 40 example programs are provided with expected results, including Grover's Algorithm and the Deutsch-Jozsa algorithm. Quintuple's implementation is aimed at students and educators wishing to incorporate quantum computing into the classroom and enables students to follow a quantum computing calculation step-by-step and to verify hand calculations. For these students and educators, Quintuple contributes to the study of 5-qubit systems and the development and debugging of quantum algorithms for deployment on the "IBM Quantum Experience" hardware.

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Simulation of n-qubit quantum systems. I. Quantum registers and quantum gates

Cited by 31 publications

References 10 publications

Polarization correlation in the two-photon decay of atomic hydrogen: nonlocality versus entanglement

Polarization correlation in the two-photon decay of atomic hydrogen: nonlocality versus entanglement

Simulation of n-qubit quantum systems. III. Quantum operations

Quintuple: A Tool for Introducing Quantum Computing Into the Classroom

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