450 citations · 3k across the 75 of their papers we have counts for
13 papers · 1 filter
The product structure of MPS-under-permutations
Marta Florido-Llinàs, Álvaro M. Alhambra, Rahul Trivedi +3
Tensor network methods have proved to be highly effective in addressing a wide variety of physical scenarios, including those lacking an intrinsic one-dimensional geometry. In such…
Cavity Quantum Electrodynamics with Atom Arrays in Free Space
David Castells-Graells, J. Ignacio Cirac, Dominik S. Wild
Cavity quantum electrodynamics (cavity QED) enables the control of light-matter interactions at the single-photon level, rendering it a key component of many quantum technologies.…
Effects of retardation on many-body superradiance in chiral waveguide QED
Bennet Windt, Miguel Bello, Daniel Malz +1
We study the superradiant decay of a chain of atoms coupled to a chiral waveguide, focusing on the regime of non-negligible photon propagation time. Using an exact master equation…
Regular language quantum states
Marta Florido-Llinàs, Álvaro M. Alhambra, David Pérez-García +1
We introduce regular language states, a family of quantum many-body states. They are built from a special class of formal languages, called regular, which has been thoroughly studi…
Pauli path simulations of noisy quantum circuits beyond average case
Guillermo González-García, J. Ignacio Cirac, Rahul Trivedi
For random quantum circuits on qubits of depth with depolarizing noise, the task of sampling from the output state can be efficiently performed classically using a…
Efficient tensor network simulation of multi-emitter non-Markovian systems
Irene Papaefstathiou, Daniel Malz, J. Ignacio Cirac +1
We present a numerical method to simulate a system of multiple emitters coupled to a non-interacting bath, in any parameter regime. Our method relies on a Block Lanczos transformat…
Efficient simulation of quantum chemistry problems in an enlarged basis set
Maxine Luo, J. Ignacio Cirac
We propose a quantum algorithm to simulate the dynamics in quantum chemistry problems. It is based on adding fresh qubits at each Trotter step, which enables a simpler implementati…
Matrix-product unitaries: Beyond quantum cellular automata
Georgios Styliaris, Rahul Trivedi, David Pérez-García +1
Matrix-product unitaries (MPU) are 1D tensor networks describing time evolution and unitary symmetries of quantum systems, while their action on states by construction preserves th…
The quantum adiabatic algorithm suppresses the proliferation of errors
Benjamin F. Schiffer, Adrian Franco Rubio, Rahul Trivedi +1
The propagation of errors severely compromises the reliability of quantum computations. The quantum adiabatic algorithm is a physically motivated method to prepare ground states of…
Dual-isometric Projected Entangled Pair States
Xie-Hang Yu, J. Ignacio Cirac, Pavel Kos +1
Efficient characterization of higher dimensional many-body physical states presents significant challenges. In this paper, we propose a new class of Project Entangled Pair State (P…
Accuracy guarantees and quantum advantage in analogue open quantum simulation with and without noise
Vikram Kashyap, Georgios Styliaris, Sara Mouradian +2
Many-body open quantum systems, described by Lindbladian master equations, are a rich class of physical models that display complex equilibrium and out-of-equilibrium phenomena whi…
Approximating many-body quantum states with quantum circuits and measurements
Lorenzo Piroli, Georgios Styliaris, J. Ignacio Cirac
We introduce protocols to prepare many-body quantum states with quantum circuits assisted by local operations and classical communication. We show that by lifting the requirement o…
Variational Neural and Tensor Network Approximations of Thermal States
Sirui Lu, Giacomo Giudice, J. Ignacio Cirac
We introduce a variational Monte Carlo algorithm for approximating finite-temperature quantum many-body systems, based on the minimization of a modified free energy. This approach…