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92 papers
Quantum minimum description of density matrices
Patrick Hayden, Alexander Maloney, Jinzhao Wang +1
We study a variant of Schumacher compression. The task asks for the minimal memory cost for compressing many copies of a density matrix with known spectrum and unknown eigenbasis,…
Free entropy and quantum minimum description length
Patrick Hayden, Alexander Maloney, Jinzhao Wang +1
In free probability, Voiculescu's free entropy counts matrix microstates that approximate an operator. It is a non-commutative analog of the Shannon entropy, distinct from any quan…
Approximation theorems for fermionic Gaussian states
Amir-Reza Negari, Farzin Salek, Zoltán Zimborás +3
A recurring principle in many-body physics is that sufficiently distributed interactions or correlations lead to an effectively mean-field description. For fermionic Gaussian state…
A canonical Hamiltonian for open quantum systems
Patrick Hayden, Jonathan Sorce
If an open quantum system is initially uncorrelated from its environment, then its dynamics can be written in terms of a Lindblad-form master equation. The master equation is divid…
The Markov gap for geometric reflected entropy
Patrick Hayden, Onkar Parrikar, Jonathan Sorce
The reflected entropy of a density matrix is a bipartite correlation measure lower-bounded by the quantum mutual information . In holographic states sat…
Perturbative quantum simulation
Jinzhao Sun, Suguru Endo, Huiping Lin +3
Approximation based on perturbation theory is the foundation for most of the quantitative predictions of quantum mechanics, whether in quantum many-body physics, chemistry, quantum…