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Local Quantum Mechanical Prediction of the Singlet State Using Geometric Algebra
Journal of Quantum Information ScienceWe deduce the quantum mechanical prediction of $-{\bf a}\cdot{\bf b}$ for the singlet spin state employing local measurement functions following Bell's approach. This result represents the quantum mechanical expectation value for the joint measurement of
C. Diether
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Sequential Quantum Measurements and the Instrumental Group Algebra
Quantum ReportsMany of the most fundamental observables—position, momentum, phase point, and spin direction—cannot be measured by an instrument that obeys the orthogonal projection postulate.
Christopher S. Jackson
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Accelerating Large-Scale Linear Algebra Using Variational Quantum Imaginary Time Evolution
International Conference on Quantum Computing and EngineeringThe solution of large sparse linear systems via factorization methods such as LU or Cholesky decomposition, can be computationally expensive due to the introduction of non-zero elements, or “fill-in.” Graph partitioning can be used to reduce the “fill-in,
Willie Aboumrad +8 more
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RLL-Realization of two-parameter quantum affine algebra in type Cn(1)
Journal of Algebra and its ApplicationsWe establish an explicit correspondence between the Drinfeld current algebra presentation for the two-parameter quantum affine algebra $U_{r, s}(\mathrm{C}_n^{(1)})$ and the $R$-matrix realization \'a la Faddeev, Reshetikhin and Takhtajan.
Xin Zhong, Naihong Hu, Naihuan Jing
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Quantum Algebra Symmetry of the ASEP with Second-Class Particles
, 2015We consider a two-component asymmetric simple exclusion process (ASEP) on a finite lattice with reflecting boundary conditions. For this process, which is equivalent to the ASEP with second-class particles, we construct the representation matrices of the
V. Belitsky, G. M. Schütz
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Orthogonal bases for two-parameter quantum groups
Quantum TopologyIn this note, we construct dual PBW bases of the positive and negative subalgebras of the two-parameter quantum groups U_{r,s}(\mathfrak{g}) in classical types, as used in “Martin–Tsymbaliuk [SIGMA 21 (2025), paper no. 064]”.
Ian Martin, A. Tsymbaliuk
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Quantum guidelines for solid-state spin defects
Nature Reviews Materials, 2021Gary Wolfowicz +2 more
exaly
Weyl, Dirac and high-fold chiral fermions in topological quantum matter
Nature Reviews Materials, 2021M Zahid Hasan +2 more
exaly
DG Algebra structures on the quantum affine n-space O−1(kn)
Journal of Algebra, 2021Xuefeng Mao, X.-T. Wang, M.-Y. Zhang
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Gerstenhaber Algebra of ℤ2 × ℤ2-Galois Coverings of Quantum Exterior Algebras
Journal of Algebra and its Applications, 2021B. Hou
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