Simplified State Interaction for Matrix Product State Wave Functions. [PDF]
J Chem Theory Comput, 2021 We present an approximation to the state-interaction approach for matrix product state (MPS) wave functions (MPSSI) in a non-orthogonal molecular orbital basis, first presented by Knecht et al. [J. Chem. Theory Comput., 2016, 28, 5881], that allows for a
Freitag L +3 more
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Quantum state preparation of normal distributions using matrix product states
npj Quantum InformationState preparation is a necessary component of many quantum algorithms. In this work, we combine a method for efficiently representing smooth differentiable probability distributions using matrix product states with recently discovered techniques for ...
Jason Iaconis +2 more
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Quantum Subroutine for Efficient Matrix Multiplication
IEEE AccessWe propose an efficient quantum subroutine for matrix multiplication that computes a state vector encoding the entries of the product of two matrices in superposition.
Anna Bernasconi +3 more
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Quantum phase estimation with optimal confidence interval using three control qubits [PDF]
QuantumQuantum phase estimation is an important routine in many quantum algorithms, particularly for estimating the ground state energy in quantum chemistry simulations. This estimation involves applying powers of a unitary to the ground state, controlled by an
Kaur Kristjuhan, Dominic W. Berry
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A new method to calculate ultrafast electron dynamics in molecules based on matrix product states [PDF]
EPJ Web of Conferences, 2019 We propose a new method to describe electron dynamics in molecules on the scale of femtoseconds. It is based on factorizing the electronic wave function into a matrix product state and using this factorization to solve the time dependent Schrodinger ...
Frahm Lars-Hendrik, Pfannkuche Daniela
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Integrable Floquet dynamics, generalized exclusion processes and “fused” matrix ansatz
Nuclear Physics B, 2018 We present a general method for constructing integrable stochastic processes, with two-step discrete time Floquet dynamics, from the transfer matrix formalism. The models can be interpreted as a discrete time parallel update.
Matthieu Vanicat
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Set Stability and Stabilization of Switched Boolean Networks With State-Based Switching
IEEE Access, 2018 This paper is devoted to studying the set stability and stabilization of switched Boolean networks (SBNs) with state-based switching using the semi-tensor product (STP) of matrices. First, the algebraic form of an SBN is obtained by STP.
Yuanyuan Li +5 more
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Continuous matrix-product operators for quantum fields
Physical Review ResearchIn this work, we introduce an ansatz for continuous matrix-product operators for quantum field theory. We show that (1) they admit a closed-form expression in terms of finite number of matrix-valued functions without reference to any lattice parameter ...
Erickson Tjoa, J. Ignacio Cirac
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Efficient construction of the Feynman-Vernon influence functional as matrix product states
SciPost Physics CoreThe time-evolving matrix product operator (TEMPO) method has become a very competitive numerical method for studying the real-time dynamics of quantum impurity problems.
Chu Guo, Ruofan Chen
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Purifications of multipartite states: limitations and constructive methods
New Journal of Physics, 2013 We analyze the description of quantum many-body mixed states using matrix product states and operators. We consider two such descriptions: (i) as a matrix product density operator of bond dimension D ; and (ii) as a purification that is written as a ...
Gemma De las Cuevas +3 more
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