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Wolf, Michael M. ; Cubitt, Toby S. ; Pérez García, David | 2011-11-23This note is intended to foster a discussion about the extent to which typical problems arising in quantum information theory are algorithmically decidable (in principle rather than in practice). Various problems in the context of entanglement t[...]texto impreso
Brandao Fischer, Bruno ; Cubitt, Toby S. ; Lucia, Ángelo ; Michalakis, Spyridon ; Pérez García, David | American Institute of Physics | 2015We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure or the sys[...]texto impreso
Cubitt, Toby S. ; Schwarz, Martin | 2013-11-27The recently proven Quantum Lov´asz Local Lemma generalises the well-known Lovász Local Lemma. It states that, if a collection of subspace constraints are “weakly dependent”, there necessarily exists a state satisfying all constraints. It implie[...]texto impreso
Chen, Jianxin ; Cubitt, Toby S. ; Harrow, Aram W. ; Smith, Graeme | American Physical Society | 2011-12-15We describe two quantum channels that individually cannot send any classical information without some chance of decoding error. But together a single use of each channel can send quantum information perfectly reliably. This proves that the zero-[...]texto impreso
The behavior of any physical system is governed by its underlying dynamical equations. Much of physics is concerned with discovering these dynamical equations and understanding their consequences. In this Letter, we show that, remarkably, identi[...]texto impreso
Lucia, Ángelo ; Cubitt, Toby S. ; Michalakis, Spyridon ; Pérez García, David | American Physical Society | 2014-09-27The physics of many materials is modeled by quantum many-body systems with local interactions. If the model of the system is sensitive to noise from the environment, or small perturbations to the original interactions, it will not model properly[...]texto impreso
Cubitt, Toby S. ; Lucia, Ángelo ; Michalakis, Spyridon ; Pérez García, David | Springer | 2015-08-29Open quantum systems weakly coupled to the environment are modeled by completely positive, trace preserving semigroups of linear maps. The generators of such evolutions are called Lindbladians. In the setting of quantum many-body systems on a la[...]texto impreso
This is the supplementary information associated to the article: T.S. Cubitt, D. Perez-Garcia, M.M. Wolf, Undecidability of the spectral gap, Nature 528, 207-211 (2015), doi:10.1038/nature16059texto impreso
Cubitt, Toby S. ; Leung, Debbie ; Matthews, William ; Winter, Andreas | Institute of Electrical and Electronics Engineers | 2011The theory of zero-error communication is re-examined in the broader setting of using one classical channel to simulate another exactly in the presence of various classes of nonsignalling correlations between sender and receiver i.e., shared ran[...]
