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Continuum tensor network field states, path integral representations and the encoding of spatial symmetries
David Jennings, Christoph Brockt, Jutho Haegeman +2
A natural way to generalise tensor network variational classes to quantum field systems is via a continuous tensor contraction. This approach is first illustrated for the class of…
Particles, holes and solitons: a matrix product state approach
Damian Draxler, Jutho Haegeman, Tobias J. Osborne +3
We introduce a variational method for calculating dispersion relations of translation invariant (1+1)-dimensional quantum field theories. The method is based on continuous matrix p…
Preparing topological PEPS on a quantum computer
Martin Schwarz, Toby S. Cubitt, Kristan Temme +2
Simulating of exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We presen…
Calculus of continuous matrix product states
Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne +1
We discuss various properties of the variational class of continuous matrix product states, a class of ansatz states for one-dimensional quantum fields that was recently introduced…
Geometry of Matrix Product States: metric, parallel transport and curvature
Jutho Haegeman, Michaël Mariën, Tobias J. Osborne +1
We study the geometric properties of the manifold of states described as (uniform) matrix product states. Due to the parameter redundancy in the matrix product state representation…
The continuum limit of a tensor network: a path integral representation
Christoph Brockt, Jutho Haegeman, David Jennings +2
We argue that the natural way to generalise a tensor network variational class to a continuous quantum system is to use the Feynman path integral to implement a continuous tensor c…
Variational Matrix Product Ansatz for Nonuniform Dynamics in the Thermodynamic Limit
Ashley Milsted, Jutho Haegeman, Tobias J. Osborne +1
We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems. This is achieved by confi…
Matrix product states for critical spin chains: finite size scaling versus finite entanglement scaling
B. Pirvu, G. Vidal, F. Verstraete +1
We investigate the use of matrix product states (MPS) to approximate ground states of critical quantum spin chains with periodic boundary conditions (PBC). We identify two regimes…
Quantum state discrimination bounds for finite sample size
Koenraad M. R. Audenaert, Milan Mosonyi, Frank Verstraete
In the problem of quantum state discrimination, one has to determine by measurements the state of a quantum system, based on the a priori side information that the true state is on…
Numerical Contraction of the Tensor Network generated by the Algebraic Bethe Ansatz
Valentin Murg, Vladimir E. Korepin, Frank Verstraete
The algebraic Bethe Ansatz is a prosperous and well-established method for solving one-dimensional quantum models exactly. The solution of the complex eigenvalue problem is thereby…