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Kassman, R. B.; Berman, G. P.; Tsifrinovich, V. I.; López, Gustavo V.

doi:10.1023/a:1024008214556

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2005

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“…The novelty of the approach taken here is based on a description of complex rational string numbers that is not based on logical or physical qubits. In this sense if differs from [12]. It also emphasizes basic arithmetic operations instead of quantum logic gates.…”

Section: Introductionmentioning

confidence: 99%

Representation of complex rational numbers in quantum mechanics

Benioff

2005

Phys. Rev. A

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A representation of complex rational numbers in quantum mechanics is described that is not based on logical or physical qubits. It stems from noting that the 0s in a product qubit state do not contribute to the number. They serve only as place holders. The representation is based on the distribution of four types of systems on an integer lattice. The four types, labelled as positive real, negative real, positive imaginary, and negative imaginary, are represented by creation and annihilation operators acting on the system vacuum state. Complex rational number states correspond to products of creation operators acting on the vacuum. Various operators, including those for the basic arithmetic operations, are described. The representation used here is based on occupation number states and is given for bosons and fermions.

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Section: Introductionmentioning

confidence: 99%

Representation of complex rational numbers in quantum mechanics

Benioff

2005

Phys. Rev. A

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show abstract

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Cited by 1 publication

References 13 publications

Representation of complex rational numbers in quantum mechanics

Representation of complex rational numbers in quantum mechanics

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