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- David PÃ©rez-GarcÃa, Frank Verstraete, Michael M. Wolf, J. Ignacio Cirac
- Quantum Information & Computation
- 2007

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 translationâ€¦ (More)

- J. F. V. Haegeman, Tobias J. Osborne, Henri Verschelde, Frank Verstraete
- Physical review letters
- 2013

We show how to construct renormalization group (RG) flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by generalizing theâ€¦ (More)

- J. F. V. Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Iztok PiÅ¾orn, Henri Verschelde, Frank Verstraete
- Physical review letters
- 2011

We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infiniteâ€¦ (More)

We consider a single copy of a pure four-partite state of qubits and investigate its behaviour under the action of stochastic local quantum operations assisted by classical communication (SLOCC).â€¦ (More)

- Sergey Bravyi, M. B. Hastings, Frank Verstraete
- Physical review letters
- 2006

The Lieb-Robinson bound states that local Hamiltonian evolution in nonrelativistic quantum mechanical theories gives rise to the notion of an effective light cone with exponentially decaying tails.â€¦ (More)

- Koenraad M. R. Audenaert, Michael Nussbaum, A. SzkoÅ‚a, Frank Verstraete
- 2007

We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptoticâ€¦ (More)

The original motivation to build a quantum computer came from Feynman, who imagined a machine capable of simulating generic quantum mechanical systemsâ€”a task that is believed to be intractable forâ€¦ (More)

- Tobias J. Osborne, Frank Verstraete
- Physical review letters
- 2006

We consider multipartite states of qubits and prove that their bipartite quantum entanglement, as quantified by the concurrence, satisfies a monogamy inequality conjectured by Coffman, Kundu, andâ€¦ (More)

We show how to construct relevant families of matrix product operators (MPOs) in one and higher dimensions. These form the building blocks for the numerical simulation methods based on matrix productâ€¦ (More)

- Norbert Schuch, Michael M. Wolf, Frank Verstraete, J. Ignacio Cirac
- Physical review letters
- 2008

We introduce string-bond states, a class of states obtained by placing strings of operators on a lattice, which encompasses the relevant states in quantum information. For string-bond states,â€¦ (More)