Clifford algebras, algebraic spinors, quantum information and applications

Trindade Marco A. S.; Floquet Sergio; Vianna J. David M.

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Clifford algebras, algebraic spinors, quantum information and applications

机译：Clifford代数，代数丝丝丝丝丝丝丝丝带，量子信息和应用

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We give an algebraic formulation based on Clifford algebras and algebraic spinors for quantum information. In this context, logic gates and concepts such as chirality, charge conjugation, parity and time reversal are introduced and explored in connection with states of qubits. Supersymmetry and M-superalgebra are also analyzed with our formalism. Specifically we use extensively the algebras Cl(3,0 )and Cl-1,Cl-3 as well as tensor products of Clifford algebras.

机译：我们基于克利福德代数和代数纯粹的量子信息提供代数配方。在这种情况下，介绍和探索与Qubits状态的逻辑门和诸如性行为，充电共轭，奇偶校验和时间逆转的概念。也通过我们的形式主义分析超对称和M-Superalgebra。具体地，我们广泛使用代数CL（3,0）和CL-1，CL-3以及夹夹层代数的张量产品。

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来源
《Modern Physics Letters, A》 |2020年第29期|共20页
作者
Trindade Marco A. S.; Floquet Sergio; Vianna J. David M.;
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作者单位

Univ Estado Bahia Salvador Dept Ciencias Exatas &

Terra Colegiado Fis BR-41150000 Salvador BA Brazil;

Univ Fed Vale Sao Francisco Colegiado Engn Civil BR-48902300 Juazeiro BA Brazil;

Univ Fed Bahia Inst Fis BR-40170480 Salvador BA Brazil;

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正文语种 eng
中图分类原子核物理学、高能物理学;天体物理学;
关键词
Clifford algebras; Algebraic spinors; Qubits; Supersymmetry;

机译：克利福德代数;代数旋转丝袜;QUBITS;超对称;

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1. Clifford algebras, algebraic spinors, quantum information and applications [J] . Trindade Marco A. S., Floquet Sergio, Vianna J. David M. Modern Physics Letters, A . 2020,第29期

机译：Clifford代数，代数丝丝丝丝丝丝丝丝带，量子信息和应用
2. QUANTUM SPINORS AND SPIN GROUPS FROM QUANTUM CLIFFORD ALGEBRAS [J] . Criscuolo A., Rosenbaum M., Vergara JD., Journal of Physics, A. Mathematical and General: A Europhysics Journal . 1997,第18期

机译：量子CLIFFORD代数中的量子自旋和自旋群
3. What is The Reason to Use Clifford Algebra in Quantum Cognition? Part I: “It from Qubit” On The Possibility That the Amino Acids Can Discern Between Two Quantum Spin States [J] . Elio Conte NeuroQuantology: an interdisciplinary journal of neuroscience and quantum physics . 2012,第3期

机译：在量子认知中使用Clifford代数的原因是什么？第一部分：“来自量子位”，关于氨基酸可以区分两个量子自旋态的可能性
4. Is the Brain a "Clifford Algebra Quantum Computer"? [C] . Valeri G. Labunets, Ekaterina V. Labunets-Rundblad, Jaakko Astola Conference on Materials and Devices for Photonic Circuits Ⅱ Aug 1-2, 2001, San Diego, USA . 2001

机译：大脑是“克利福德代数量子计算机”吗？
5. CLIFFORD ALGEBRAS IN RELATIVISTIC QUANTUM MECHANICS AND IN THE GAUGE THEORY OF ELECTROMAGNETISM. [D] . CLARKSON, ERIC WAYNE. 1985

机译：相对论量子力学中的克利福德代数和电磁学的度量理论。
6. Analysis of Two-Player Quantum Games in an EPR Setting Using Clifford's Geometric Algebra [O] . James M. Chappell, Azhar Iqbal, Derek Abbott 2009

机译：使用Clifford几何代数的EPR环境中的两层量子博弈分析
7. WHAT IS THE REASON TO USE CLIFFORD ALGEBRA IN QUANTUM COGNITION ? PART I “ IT FROM QUBIT “ : ON THE POSSIBILITY THAT THE AMINO ACIDS CAN DISCERN BETWEEN TWO QUANTUM SPIN STATES. [O] . Conte, Elio 2012

机译：在量子识别中使用CLIFFORD代数的原因是什么？第一部分“来自QUBIT”：关于氨基酸可以区分两种量子自旋态的可能性。
8. Remarkable Algebra So*(2n), Its Representations, Its Clifford Algebra and Potential Applications [R] . Barut, A. O. , Bracken, A. J. 1988

机译：卓越的代数所以*（2n），它的表示，它的Clifford代数和潜在的应用

Clifford algebras, algebraic spinors, quantum information and applications

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