Quantum Phase Transitions in Conventional Matrix Product Systems
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-016-3163-z
Abstract: For matrix product states(MPSs) of one-dimensional spin-12$\frac {1}{2}$ chains, we investigate a new kind of conventional quantum phase transition(QPT). We find that the system has two different ferromagnetic phases; on the line of the two… read more here.
Keywords: quantum; matrix product; correlation; quantum correlation ... See more keywords
Neurocomputing approach to matrix product state using quantum dynamics
Sign Up to like & getrecommendations! Published in 2018 at "Quantum Information Processing"
DOI: 10.1007/s11128-018-2053-0
Abstract: During the last three decades, quantum neural computation has received a relatively high amount of attention among researchers and academic communities since the model of quantum neural network has been proposed. Matrix product state is… read more here.
Keywords: state; product state; quantum; matrix product ... See more keywords
On general self-orthogonal matrix-product codes associated with Toeplitz matrices
Sign Up to like & getrecommendations! Published in 2024 at "Cryptography and Communications"
DOI: 10.1007/s12095-024-00763-6
Abstract: This paper presents four constructions of general self-orthogonal matrix-product codes associated with Toeplitz matrices. The first one relies on the dual of a known general dual-containing matrix-product code; the second one is founded on a… read more here.
Keywords: matrix product; toeplitz; self orthogonal; toeplitz matrices ... See more keywords
Time-evolution methods for matrix-product states
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Physics"
DOI: 10.1016/j.aop.2019.167998
Abstract: Matrix-product states have become the de facto standard for the representation of one-dimensional quantum many body states. During the last few years, numerous new methods have been introduced to evaluate the time evolution of a… read more here.
Keywords: time; matrix product; product states; time evolution ... See more keywords
Ultrafast ab Initio Quantum Chemistry Using Matrix Product States.
Sign Up to like & getrecommendations! Published in 2019 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.8b01291
Abstract: Ultrafast dynamics in chemical systems provide a unique access to fundamental processes at the molecular scale. A proper description of such systems is often very challenging because of the quantum nature of the problem. The… read more here.
Keywords: matrix product; chemistry; time; mps approach ... See more keywords
Irreducible forms of matrix product states: Theory and applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5000784
Abstract: The canonical form of Matrix Product States (MPS) and the associated fundamental theorem, which relates different MPS representations of a state, are the theoretical framework underlying many of the analytical results derived through MPS, such… read more here.
Keywords: irreducible form; irreducible forms; matrix product; form ... See more keywords
Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa569b
Abstract: Starting from the deformed current-counting transition matrix for the open boundary ASEP, we prove that with a further deformation, the symmetric Koornwinder polynomials for partitions with equal row lengths appear as the normalisation of the… read more here.
Keywords: product construction; asep; matrix product; koornwinder polynomials ... See more keywords
Bundled matrix product states represent low-energy excitations faithfully
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ad770f
Abstract: We consider a set of density matrices. All of which are written in the same orbital basis, but the orbital basis size is less than the total Hilbert space size. We ask how each density… read more here.
Keywords: product states; energy; matrix product; density matrices ... See more keywords
Tomography-assisted noisy quantum circuit simulator using matrix product density operators
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review A"
DOI: 10.1103/physreva.110.032604
Abstract: In recent years, efficient quantum circuit simulations incorporating ideal noise assumptions have relied on tensor network simulators, particularly leveraging the matrix product density operator (MPDO) framework. However, experiments on real noisy intermediate-scale quantum (NISQ) devices… read more here.
Keywords: quantum circuit; quantum; matrix product; product density ... See more keywords
Matrix product state approach for a quantum system at finite temperatures using random phases and Trotter gates
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.045133
Abstract: We develop a numerical method based on matrix product states for simulating quantum manybody systems at finite temperatures without importance sampling and evaluate its performance in spin 1/2 systems. Our method is an extension of… read more here.
Keywords: system; matrix product; approach; finite temperatures ... See more keywords
Efficient matrix product state methods for extracting spectral information on rings and cylinders
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.115142
Abstract: Based on the MPS formalism, we introduce an ansatz for capturing excited states in finite systems with open boundary conditions, providing a very efficient method for computing, e.g., the spectral gap of quantum spin chains.… read more here.
Keywords: efficient matrix; state methods; matrix product; state ... See more keywords