Results 11 to 20 of about 6,894 (255)
Polyadic Braid Operators and Higher Braiding Gates
Universe, 2021 A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
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Quantum Algorithm for Linear Non-unitary Dynamics with Near-Optimal Dependence on All Parameters [PDF]
Communications in Mathematical Physics, 2023 We introduce a family of identities that express general linear non-unitary evolution operators as a linear combination of unitary evolution operators, each solving a Hamiltonian simulation problem. This formulation can exponentially enhance the accuracy
Dong An, Andrew M. Childs, Lin Lin
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Inversion identities for inhomogeneous face models
Nuclear Physics B, 2014 We derive exact inversion identities satisfied by the transfer matrix of inhomogeneous interaction-round-a-face (IRF) models with arbitrary boundary conditions using the underlying integrable structure and crossing properties of the local Boltzmann ...
Holger Frahm, Nikos Karaiskos
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Exact surface energy of the D2(1) spin chain with generic non-diagonal boundary reflections
Nuclear Physics B, 2022 The exact solution of the D2(1) quantum spin chain with generic non-diagonal boundary reflections is obtained. It is found that the generating functional of conserved quantities of the system can be factorized as the product of transfer matrices of two ...
Guang-Liang Li +5 more
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Classical Integrable Spin Chains of Landau–Lifshitz Type from R-Matrix Identities [PDF]
JETP Letters : Journal of Experimental And Theoretical Physics LettersWe describe a family of 1+1 classical integrable space-discrete models of the Landau–Lifshitz type through the usage of ansatz for U–V (Lax) pair with spectral parameter satisfying the semi-discrete Zakharov–Shabat equation.
D. Domanevsky, A. Zotov
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Ward identities and combinatorics of rainbow tensor models [PDF]
, 2017 A bstractWe discuss the notion of renormalization group (RG) completion of non-Gaussian Lagrangians and its treatment within the framework of Bogoliubov-Zimmermann theory in application to the matrix and tensor models.
H. Itoyama +3 more
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The multicomponent KP hierarchy: differential Fay identities and Lax equations [PDF]
, 2010 In this paper, we show that four sets of differential Fay identities of an N-component KP hierarchy derived from the bilinear relation satisfied by the tau function of the hierarchy are sufficient to derive the auxiliary linear equations for the ...
L. Teo
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Explicit examples of DIM constraints for network matrix models [PDF]
, 2016 A bstractDotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry.
H. Awata +7 more
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Solitons in lattice field theories via tight-binding supersymmetry
Journal of High Energy Physics, 2021 Reflectionless potentials play an important role in constructing exact solutions to classical dynamical systems (such as the Korteweg-de Vries equation), non-perturbative solutions of various large-N field theories (such as the Gross-Neveu model), and ...
Shankar Balasubramanian +2 more
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Symmetry preserving truncations of the gap and Bethe-Salpeter equations [PDF]
, 2016 Ward-Green-Takahashi (WGT) identities play a crucial role in hadron physics, e.g. imposing stringent relationships between the kernels of the one- and two-body problems, which must be preserved in any veracious treatment of mesons as bound-states.
D. Binosi +4 more
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