Search Results - Quantum groups and related algebraic methods applied to problems in quantum theory

Sachs’ free data in real connection variables by De Paoli, Elena, Speziale, Simone

“… of the various constraints. We identify the equivalent of Sachs’ constraint-free initial data as projections of connection components related to null rotations, i.e…”
Get full text

Inverse scattering and the Geroch group by Katsimpouri, Despoina, Kleinschmidt, Axel, Virmani, Amitabh

“…) and Breitenlohner-Maison (BM). The linear system of BM makes the group structure of the Geroch group manifest and we analyse the relation of this group structure to the inverse scattering method of the BZ approach in general…”
Get full text

Hidden Symmetry Subgroup Problems by Decker, Thomas, Ivanyos, Gábor, Santha, Miklos, Wocjan, Pawel

“…We advocate a new approach for addressing hidden structure problems and finding efficient quantum algorithms…”
Get full text

Sampling and Probe Methods – An Algorithmical View by Potthast, Roland

“… Today, basically three different categories of methods for the treatment of the full nonlinear scattering problem are known…”
Get full text

Alternating minimization, scaling algorithms, and the null-cone problem from invariant theory by Bürgisser, Peter, Garg, Ankit, Oliveira, Rafael, Walter, Michael, Wigderson, Avi

“… Its main feature is that the local optimization domains are each a group of invertible matrices, together naturally acting on tensors, and the optimization problem is minimizing the norm of an input…”
Get full text

From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups by Bacon, D., Childs, A.M., van Dam, W.

“… and unitary implementation are closely related to an average-case algebraic problem. By solving this problem, we find efficient quantum algorithms for a number…”
Get full text

Algebraic Approach to Entanglement and Entropy by Balachandran, A P, Govindarajan, T R, de Queiroz, Amilcar R, Reyes-Lega, A F

“…We present a general approach to quantum entanglement and entropy that is based on algebras of observables and states thereon…”
Get full text

On Algebraic and Quantum Random Walks by Ellinas, Demosthenes

“…Algebraic random walks (ARW) and quantum mechanical random walks (QRW) are investigated and related…”
Get full text

Group Representations in Entanglement Theory by Vrana, Péter

“… In the early days of the development of the theory, manifestations of entanglement caused many physicists to dislike the probabilistic interpretation of quantum theory…”
Get full text

Parametrizing algebraic varieties using Lie algebras by Pilnikova, Jana

“… The problem of parametrizing is reduced to a problem of finding an isomorphism of algebras. We introduce the Lie algebra of a variety as a Lie algebra related to its group of automorphisms…”
Get full text

Barriers for fast matrix multiplication from irreversibility by Christandl, Matthias, Vrana, Péter, Zuiddam, Jeroen

“…\), is a central problem in algebraic complexity theory. The best upper bounds on \(\omega\), leading to the state-of-the-art \(\omega \leq 2.37…”
Get full text

On the geometry of quantum indistinguishability by Reyes-Lega, A F

“…An algebraic approach to the study of quantum mechanics on configuration spaces with a finite fundamental group is presented…”
Get full text

Algebraic Geometry and Physics by Shi-shyr Roan

“…: I will report results on the algebraic geometry of rapidity curves appeared in the chiral Potts model, and the algebraic Bethe Ansatz equation in connection with quantum inverse scattering method…”
Get full text

Hidden Symmetry Subgroup Problems by Decker, Thomas, Ivanyos, Gábor, Santha, Miklos, Wocjan, Pawel

“…We advocate a new approach of addressing hidden structure problems and finding efficient quantum algorithms…”
Get full text

Inverse Scattering and the Geroch Group by Katsimpouri, Despoina, Kleinschmidt, Axel, Virmani, Amitabh

“…) and Breitenlohner-Maison (BM). The linear system of BM makes the group structure of the Geroch group manifest and we analyse the relation of this group structure to the inverse scattering method of the BZ approach in general…”
Get full text

Symmetries of Non-Linear Systems: Group Approach to their Quantization by Aldaya, V, Calixto, M, Guerrero, J, López-Ruiz, F F

“…We report briefly on an approach to quantum theory entirely based on symmetry grounds which improves Geometric Quantization in some respects and provides an alternative to the canonical framework…”
Get full text

Nonlinear Bogolyubov-Valatin transformations: 2 modes by Scharnhorst, K, -W van Holten, J

“… We find that the Bogolyubov-Valatin group for n=2 fermionic modes which can be implemented by means of unitary SU(2^n = 4…”
Get full text

Algebraic methods, Bender-Wu formulas, and continued fractions at large order for charmonium by Vrscay, ER

Get more information

On 4-dimensional Einsteinian manifolds with parallel null distribution by Mehdi Jafari

“… In this method, we first obtain the generators of the symmetry algebra and then calculate the differential Invariants for each of the generators and calculate the group invariant solutions of this equation…”
Get full text

The fundamental matrix of the Hilbert problem in transport theory by Rajamäki, Markku

“…A method of solving the homogeneous Hilbert problem encountered in the two-media case of the one-dimensional transport equation with degenerate scattering kernels is developed…”
Get full text