23 citations · 75 across the 22 of their papers we have counts for
25 papers · 1 filter
Fast convergence of propagation algorithms for open quantum systems
Giorgio Facelli, Hamza Fawzi, Omar Fawzi +3
We establish general conditions for the rapid convergence of propagation algorithms for computing expectation values of local observables in quantum many-body systems, covering bot…
Rapid mixing of Gibbs samplers via quantum Dobrushin--Shlosman conditions
Cambyse Rouzé, Daniel Stilck França
Classical Dobrushin--Shlosman theory uses heat-bath block updates to identify sharp temperature thresholds for establishing the rapid mixing of Gibbs samplers. In particular, these…
Learning Local Fermionic Lindbladians under Parity Superselection
Tim Möbus, Daniel Stilck França, Cambyse Rouzé
Parity superselection forbids direct measurement of odd Majorana observables. We learn time-independent, parity-covariant, -mode-local Lindbladians on modes using even prepa…
Robust Structure Learning of -local Lindbladians
Tim Möbus, Thiago Bergamaschi, Daniel Stilck França +1
We present an efficient protocol for learning an unknown -local Lindblad generator on qubits using only product-state preparations, short-time evolution, and single-qubit Pa…
Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra
Ali Almasi, Dávid Bugár, Cambyse Rouzé +1
Moment/Sum-of-Hermitian-Squares relaxations for noncommutative polynomial optimization problems have become an important tool for analyzing problems within quantum theory. Despite…
Polynomial-time thermalization and Gibbs sampling from system-bath couplings
Samuel Slezak, Matteo Scandi, Álvaro M. Alhambra +2
Many physical phenomena, including thermalization in open quantum systems and quantum Gibbs sampling, are modeled by Lindbladians approximating a system weakly coupled to a bath. U…
Convergence of the Cumulant Expansion and Polynomial-Time Algorithm for Weakly Interacting Fermions
Hongrui Chen, Cambyse Rouzé, Jielun Chen +6
We propose a randomized algorithm to compute the log-partition function of weakly interacting fermions with polynomial runtime in both the system size and precision. Although weakl…
Modified logarithmic Sobolev inequalities for CSS codes
Sebastian Stengele, Ángela Capel, Li Gao +5
We consider the class of Davies quantum semigroups modelling thermalization for translation-invariant Calderbank-Shor-Steane (CSS) codes in D dimensions. We prove that conditions o…
Learning and certification of local time-dependent quantum dynamics and noise
Daniel Stilck França, Tim Möbus, Cambyse Rouzé +1
Hamiltonian learning protocols are becoming valuable tools for benchmarking and verifying quantum computers and simulators, yet few rigorous protocols address explicitly time-depen…
Certifying and learning quantum Ising Hamiltonians
Andreas Bluhm, Matthias C. Caro, Francisco Escudero Gutiérrez +2
In this work, we study the problems of certifying and learning quantum Ising Hamiltonians. Our main contributions are as follows: Certification of Ising Hamiltonians. We show that…
Complexity of mixed Schatten norms of quantum maps
Jan Kochanowski, Omar Fawzi, Cambyse Rouzé
We study the complexity of computing the mixed Schatten norms of linear maps between matrix spaces. When is completely positive, we show that $\| Φ\|_{q \t…
Heisenberg-limited Hamiltonian learning continuous variable systems via engineered dissipation
Tim Möbus, Andreas Bluhm, Tuvia Gefen +3
Discrete and continuous variables oftentimes require different treatments in many learning tasks. Identifying the Hamiltonian governing the evolution of a quantum system is a funda…
Quantum Gibbs states are locally Markovian
Chi-Fang Chen, Cambyse Rouzé
The Markov property entails the conditional independence structure inherent in Gibbs distributions for general classical Hamiltonians, a feature that plays a crucial role in infere…
Additivity and chain rules for quantum entropies via multi-index Schatten norms
Omar Fawzi, Jan Kochanowski, Cambyse Rouzé +1
The primary entropic measures for quantum states are additive under the tensor product. In the analysis of quantum information processing tasks, the minimum entropy of a set of sta…
Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics
Ángela Capel, Paul Gondolf, Jan Kochanowski +1
We study the problem of sampling from and preparing quantum Gibbs states of local commuting Hamiltonians on hypercubic lattices of arbitrary dimension. We prove that any such Gibbs…
Optimal quantum algorithm for Gibbs state preparation
Cambyse Rouzé, Daniel Stilck França, Álvaro M. Alhambra
It is of great interest to understand the thermalization of open quantum many-body systems, and how quantum computers are able to efficiently simulate that process. A recently intr…
Learning finitely correlated states: stability of the spectral reconstruction
Marco Fanizza, Niklas Galke, Josep Lumbreras +2
Matrix product operators allow efficient descriptions (or realizations) of states on a 1D lattice. We consider the task of learning a realization of minimal dimension from copies o…
Provably Efficient Learning of Phases of Matter via Dissipative Evolutions
Emilio Onorati, Cambyse Rouzé, Daniel Stilck França +1
The combination of quantum many-body and machine learning techniques has recently proved to be a fertile ground for new developments in quantum computing. Several works have shown…
Limitations of local update recovery in stabilizer-GKP codes: a quantum optimal transport approach
Robert König, Cambyse Rouzé
Local update recovery seeks to maintain quantum information by applying local correction maps alternating with and compensating for the action of noise. Motivated by recent constru…
Efficient learning of the structure and parameters of local Pauli noise channels
Cambyse Rouzé, Daniel Stilck França
The unavoidable presence of noise is a crucial roadblock for the development of large-scale quantum computers and the ability to characterize quantum noise reliably and efficiently…
Learning and simulating bosonic systems via finite-energy locality
Tim Möbus, Andreas Bluhm, Matthias C. Caro +2
Bosonic devices promise applications in simulation, sensing and quantum error correction, but infinite-dimensional local Hilbert spaces obstruct the locality tools that make qubit…
Limitations of variational quantum algorithms: a quantum optimal transport approach
Giacomo De Palma, Milad Marvian, Cambyse Rouzé +1
The impressive progress in quantum hardware in the last years has raised the interest of the quantum computing community in harvesting the computational power of such devices. Howe…
The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions
Ángela Capel, Cambyse Rouzé, Daniel Stilck França
Given a uniform, frustration-free family of local Lindbladians defined on a quantum lattice spin system in any spatial dimension, we prove a strong exponential convergence in relat…
Concentration of quantum states from quantum functional and transportation cost inequalities
Cambyse Rouzé, Nilanjana Datta
Quantum functional inequalities (e.g. the logarithmic Sobolev- and Poincaré inequalities) have found widespread application in the study of the behavior of primitive quantum Markov…