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Matrix product state representations
TLDR
The freedom in representations with and without translation symmetry are determined, derive respective canonical forms and provide efficient methods for obtaining them.
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Quantum computation and quantum-state engineering driven by dissipation
In quantum information science, dissipation is commonly viewed as an adverse effect that destroys information through decoherence. But theoretical work shows that dissipation can be used to drive…
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Area laws in quantum systems: mutual information and correlations.
TLDR
This Letter shows that the holographic principle not only emerges in the search for new Planck-scale laws but also in lattice models of classical and quantum physics: the information contained in part of a system in thermal equilibrium obeys an area law.
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All-multipartite Bell-correlation inequalities for two dichotomic observables per site
We construct a set of ${2}^{{2}^{n}}$ independent Bell-correlation inequalities for n-partite systems with two dichotomic observables each, which is complete in the sense that the inequalities are…
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Bound entangled Gaussian states.
TLDR
It is shown that, for systems composed of a single oscillator for Alice and an arbitrary number for Bob, positivity of the partial transpose implies separability, but this implication fails with two oscillators on each side, as it is shown by constructing a five parameter family of bound entangled Gaussian states.
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Quantum Tomography under Prior Information
We provide a detailed analysis of the question: how many measurement settings or outcomes are needed in order to identify an unknown quantum state which is constrained by prior information? We show…
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Peps as unique ground states of local hamiltonians
TLDR
A mapping between classical and quantum models is invoked and it is proved that in certain cases the injectivity relation between boundary and bulk solely depends on the lattice geometry.
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Criticality, the area law, and the computational power of projected entangled pair states.
TLDR
It is proved that coherent versions of thermal states of any local 2D classical spin model correspond to PEPS, which are in turn ground states of local2D quantum Hamiltonians, and this correspondence maps thermal onto quantum fluctuations.
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An improved Landauer principle with finite-size corrections
Landauerʼs principle relates entropy decrease and heat dissipation during logically irreversible processes. Most theoretical justifications of Landauerʼs principle either use thermodynamic reasoning…
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Measurements incompatible in quantum theory cannot be measured jointly in any other no-signaling theory.
TLDR
It is shown that for arbitrary dimension the Clauser-Horne-Shimony-Holt inequality provides the Lagrangian dual of the characterization of joint measurability, which leads to a simple criterion for joint measURability beyond the known qubit case.
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