Results 1 to 10 of about 2,534,683 (266)
Stochastic Matrix Product States [PDF]
Physical Review Letters, 2010 The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows to define the analogue of Schmidt coefficients for steady states of non-equilibrium stochastic processes. We discuss a new measure for
A. Winter +3 more
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Matrix Product State Representations [PDF]
Quantum Information and Computation, 2006 This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide ...
Cirac, J. I. +3 more
core +11 more sources
Squares of matrix-product codes [PDF]
Finite Fields and Their Applications, 2019 The component-wise or Schur product $C*C'$ of two linear error-correcting codes $C$ and $C'$ over certain finite field is the linear code spanned by all component-wise products of a codeword in $C$ with a codeword in $C'$.
Cascudo, Ignacio +2 more
core +7 more sources
Matrix product states for quantum metrology [PDF]
Physical Review Letters, 2013 We demonstrate that the optimal states in lossy quantum interferometry may be efficiently simulated using low rank matrix product states. We argue that this should be expected in all realistic quantum metrological protocols with uncorrelated noise and is
Demkowicz-Dobrzanski, Rafal +1 more
core +3 more sources
Scaling hypothesis for matrix product states [PDF]
Physical Review Letters, 2019 We study critical spin systems and field theories using matrix product states, and formulate a scaling hypothesis in terms of operators, eigenvalues of the transfer matrix, and lattice spacing in the case of field theories. The critical point, exponents,
Haegeman, Jutho +4 more
core +5 more sources
Integrable Matrix Product States from boundary integrability
SciPost Physics, 2019 We consider integrable Matrix Product States (MPS) in integrable spin chains and show that they correspond to "operator valued" solutions of the so-called twisted Boundary Yang-Baxter (or reflection) equation. We argue that the integrability condition
Balázs Pozsgay, Lorenzo Piroli, Eric Vernier
doaj +3 more sources
Querying a Matrix through Matrix-Vector Products [PDF]
ACM Transactions on Algorithms, 2021 We consider algorithms with access to an unknown matrix M ε F n×d via matrix-vector products , namely, the algorithm chooses vectors v 1 , ⃛ , v q , and observes Mv 1 , ⃛ , Mv q . Here the v
Sun, Xiaoming +3 more
openaire +4 more sources
Classifying phases protected by matrix product operator symmetries using matrix product states [PDF]
Quantum, 2023 We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a local characterization of how the MPSs, that generate a ground space, remain ...
José Garre-Rubio +2 more
doaj +1 more source
Matrix Concentration for Products [PDF]
Foundations of Computational Mathematics, 2021 This paper develops nonasymptotic growth and concentration bounds for a product of independent random matrices. These results sharpen and generalize recent work of Henriksen-Ward, and they are similar in spirit to the results of Ahlswede-Winter and of Tropp for a sum of independent random matrices.
Huang, De +3 more
openaire +4 more sources
Hasil Kali Matriks (Mod 2) pada Graf Roda, Graf Pertemanan dan Graf Bunga
Jambura Journal of Mathematics, 2021 ABSTRAK Pada artikel ini dibahas sifat-sifat hasil kali matriks (mod 2) terkait graf roda, graf pertemanan, dan graf bunga yang grafikal. Beberapa hasil yang diperoleh, A(Wn)A(Wn)(Mod 2) dan A(Wn)A(Sn)(Mod 2) grafikal apabila n=2k+1 dengan Sn merupakan ...
Fransiskus Fran +2 more
doaj +1 more source