831 citations · 6k across the 58 of their papers we have counts for
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Classification of phases for mixed states via fast dissipative evolution
Andrea Coser, David Perez-Garcia
We propose the following definition of topological quantum phases valid for mixed states: two states are in the same phase if there exists a time independent, fast and local Lindbl…
Undecidability of the Spectral Gap in One Dimension
Johannes Bausch, Toby Cubitt, Angelo Lucia +1
The spectral gap problem - determining whether the energy spectrum of a system has an energy gap above ground state, or if there is a continuous range of low-energy excitations - p…
Resource Quantification for the No-Programming Theorem
Aleksander M. Kubicki, Carlos Palazuelos, David Pérez-García
The no-programming theorem prohibits the existence of a Universal Programmable Quantum Processor. This statement has several implications in relation to quantum computation, but al…
Quantum conditional relative entropy and quasi-factorization of the relative entropy
Angela Capel, Angelo Lucia, David Pérez-García
The existence of a positive log-Sobolev constant implies a bound on the mixing time of a quantum dissipative evolution under the Markov approximation. For classical spin systems, s…