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U-bit

In quantum mechanics, the u-bit or ubit is a proposed theoretical entity which arises in attempts to reformulate wave functions using only real numbers instead of the complex numbers conventionally used.[1]

Description edit

In order to discover the real probability of a given quantum event occurring, the conventional calculation carries out an operation, analogous to squaring, on an associated set of complex numbers. A complex number involves the use of the square root of minus one, a number which is described as "imaginary" in contrast to the familiar "real" numbers used for counting and describing real physical objects. Because the computed result is required to be a real number, information is lost in the computation.[2]

This situation is regarded as unsatisfactory by some researchers, who seek an alternative formulation which does not involve the square root of minus one. Bill Wootters, of Williams College, Williamstown, Massachusetts, and colleagues have derived such a model. This model requires the presence of a universal entity which is quantum-entangled with every quantum wave and which he calls the u-bit.[3]

Mathematically the u-bit may be represented as a vector rotating in a real two-dimensional plane. It has no known physical representation in the real world.[3]

References edit

  1. ^ Aleksandrova, Antoniya; Borish, Victoria; Wootters, William K. (May 7, 2013). "Real-vector-space quantum theory with a universal quantum bit". Physical Review A. 87 (5): 052106. arXiv:1210.4535. Bibcode:2013PhRvA..87e2106A. doi:10.1103/PhysRevA.87.052106. S2CID 118342049.
  2. ^ The Ubit Model In Real-Vector-Space Quantum Theory (2012) Lecture by William Wootters at the Institut Périmètre de Physique Théorique, Canada. Accessed Jan 2014
  3. ^ a b Chalmers, Matthew (January 25, 2014). "From i to u: Searching for the quantum master bit". New Scientist. pp. 32–35. Retrieved February 14, 2014.

ubit, unrelated, business, income, quantum, mechanics, ubit, proposed, theoretical, entity, which, arises, attempts, reformulate, wave, functions, using, only, real, numbers, instead, complex, numbers, conventionally, used, description, editin, order, discover. For UBIT see Unrelated Business Income Tax In quantum mechanics the u bit or ubit is a proposed theoretical entity which arises in attempts to reformulate wave functions using only real numbers instead of the complex numbers conventionally used 1 Description editIn order to discover the real probability of a given quantum event occurring the conventional calculation carries out an operation analogous to squaring on an associated set of complex numbers A complex number involves the use of the square root of minus one a number which is described as imaginary in contrast to the familiar real numbers used for counting and describing real physical objects Because the computed result is required to be a real number information is lost in the computation 2 This situation is regarded as unsatisfactory by some researchers who seek an alternative formulation which does not involve the square root of minus one Bill Wootters of Williams College Williamstown Massachusetts and colleagues have derived such a model This model requires the presence of a universal entity which is quantum entangled with every quantum wave and which he calls the u bit 3 Mathematically the u bit may be represented as a vector rotating in a real two dimensional plane It has no known physical representation in the real world 3 References edit Aleksandrova Antoniya Borish Victoria Wootters William K May 7 2013 Real vector space quantum theory with a universal quantum bit Physical Review A 87 5 052106 arXiv 1210 4535 Bibcode 2013PhRvA 87e2106A doi 10 1103 PhysRevA 87 052106 S2CID 118342049 The Ubit Model In Real Vector Space Quantum Theory 2012 Lecture by William Wootters at the Institut Perimetre de Physique Theorique Canada Accessed Jan 2014 a b Chalmers Matthew January 25 2014 From i to u Searching for the quantum master bit New Scientist pp 32 35 Retrieved February 14 2014 Retrieved from https en wikipedia org w index php title U bit amp oldid 1209908852, wikipedia, wiki, book, books, library,

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