Weight module classifications for Bershadsky–Polyakov algebras [PDF]
Communications in Contemporary Mathematics, 2023 The Bershadsky-Polyakov algebras are the subregular quantum Hamiltonian reductions of the affine vertex operator algebras associated associated with [Formula: see text]. In (D. Adamović, K. Kawasetsu and D.
Dražen Adamović +2 more
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Stabilizer Formalism for Operator Algebra Quantum Error Correction [PDF]
Quantum, 2023 We introduce a stabilizer formalism for the general quantum error correction framework called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's formulation for traditional quantum error correcting codes (QEC) and Poulin's ...
G. Dauphinais, D. Kribs, M. Vasmer
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Qubit-Efficient Randomized Quantum Algorithms for Linear Algebra [PDF]
PRX Quantum, 2023 We propose a class of randomized quantum algorithms for the task of sampling from matrix functions, without the use of quantum block encodings or any other coherent oracle access to the matrix elements.
Samson Wang, Sam McArdle, M. Berta
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Quantum Geometrodynamics Revived I. Classical Constraint Algebra [PDF]
Classical and quantum gravity, 2023 In this series of papers, we present a set of methods to revive quantum geometrodynamics which encountered numerous mathematical and conceptual challenges in its original form promoted by Wheeler and De Witt.
T. Lang, S. Schander
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Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra [PDF]
Quantum, 2022 Many quantum algorithms for numerical linear algebra assume black-box access to a block-encoding of the matrix of interest, which is a strong assumption when the matrix is not sparse. Kernel matrices, which arise from discretizing a kernel function k(x,x′
Quynh T. Nguyen, B. Kiani, S. Lloyd
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Stokes posets and serpent nests [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 30 pages, 12 ...
Frédéric Chapoton
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Improved Resource‐Tunable Near‐Term Quantum Algorithms for Transition Probabilities, with Applications in Physics and Variational Quantum Linear Algebra [PDF]
Advanced Quantum Technologies, 2022 Transition amplitudes and transition probabilities are relevant to many areas of physics simulation, including the calculation of response properties and correlation functions.
Nicolas P. D. Sawaya, J. Huh
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RosneT: A Block Tensor Algebra Library for Out-of-Core Quantum Computing Simulation [PDF]
2021 IEEE/ACM Second International Workshop on Quantum Computing Software (QCS), 2021 With the advent of more powerful Quantum Computers, the need for larger Quantum Simulations has boosted. As the amount of resources grows exponentially with size of the target system Tensor Networks emerge as an optimal framework with which we represent ...
Sergio Sánchez Ramírez +6 more
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Quantum deformation of Whittaker modules and the Toda lattice [PDF]
, 1999 In 1978 Kostant suggested the Whittaker model of the center of the universal enveloping algebra U(g) of a complex simple Lie algebra g. The main result is that the center of U(g) is isomorphic to a commutative subalgebra in U(b), where b is a Borel ...
A. Sevostyanov
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The small quantum group and the Springer resolution [PDF]
, 2006 In math.RT/0304173 the derived category of the principal block in modules over the Lusztig quantum algebra at a root of unity is related to the derived category of equivariant coherent sheaves on the Springer resolution.
R. Bezrukavnikov, A. Lachowska
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