450 citations · 3k across the 75 of their papers we have counts for
19 papers · 2 filters
Uniform matrix product states with a boundary
Marta Florido-Llinàs, Álvaro M. Alhambra, David Pérez-García +1
Canonical forms are central to the analytical understanding of tensor network states, underpinning key results such as the complete classification of one-dimensional symmetry-prote…
Efficient Simulation of Sparse, Non-Local Fermion Models
Reinis Irmejs, J. Ignacio Cirac
Efficient simulation of interacting fermionic systems is a key application of near-term quantum computers, but is hindered by the overhead required to encode fermionic operators on…
A Quantum Algorithm with Polylogarithmic Depth per Trotter Step for the Extended Hubbard Model
Yu Wang, Martina Nibbi, Maxine Luo +4
The extended Hubbard model on a two-dimensional lattice captures key physical phenomena, but its simulation remains challenging because long-range interactions give rise to a large…
Estimating ground-state properties in quantum simulators with global control
Cristian Tabares, Dominik S. Wild, J. Ignacio Cirac +3
Accurately determining ground-state properties of quantum many-body systems remains one of the major challenges of quantum simulation. In this work, we present a protocol for estim…
Noise robustness of problem-to-simulator mappings for quantum many-body physics
Rahul Trivedi, J. Ignacio Cirac
Simulating quantum dynamics on digital or analog quantum simulators often requires ``problem-to-simulator" mappings such as trotterization, floquet-magnus expansion or perturbative…
Optimizing digital quantum simulation of open quantum lattice models
Xie-Hang Yu, Hongchao Li, J. Ignacio Cirac +1
Many-body systems arising in condensed matter physics and quantum optics inevitably couple to the environment and need to be modelled as open quantum systems. While near-optimal al…
Phase-Sensitive Measurements on a Fermi-Hubbard Quantum Processor
Alberto R. Cavallar, Luis Escalera-Moreno, Titus Franz +4
Fermionic quantum processors are a promising platform for quantum simulation of correlated fermionic matter. In this work, we study a hardware-efficient protocol for measuring comp…
Quantum Circuits for Matrix-Product Unitaries
Georgios Styliaris, Rahul Trivedi, J. Ignacio Cirac
Matrix-product unitaries (MPUs) are many-body unitary operators that, as a consequence of their tensor-network structure, preserve the entanglement area law in 1D systems. However,…
Matrix product states as thin torus limits of conformal correlators
Adrián Franco-Rubio, J. Ignacio Cirac, Germán Sierra
We introduce one-parameter families of spin chain ansatz wavefunctions constructed from chiral conformal field theory correlators on a torus, with the modular parameter serving…
Learning mixed quantum states in large-scale experiments
Matteo Votto, Marko Ljubotina, Cécilia Lancien +5
We present and test a protocol to learn the matrix-product operator (MPO) representation of an experimentally prepared quantum state. The protocol takes as an input classical shado…
Efficient Characterization of Coherent and Correlated Low-Degree Noise in Layers of Gates
Marianna Crupi, J. Ignacio Cirac, Flavio Baccari
We present a quantum process-tomography protocol based on a low-degree ansatz for the quantum channel, i.e. when it can be expressed as a fixed-degree polynomial in terms of Pauli…
Hardware-efficient quantum phase estimation via local control
Benjamin F. Schiffer, Dominik S. Wild, Nishad Maskara +2
Quantum phase estimation plays a central role in quantum simulation as it enables the study of spectral properties of many-body quantum systems. Most variants of the phase estimati…
Quantum Simulation of Dynamical Response Functions of Equilibrium States
Esther Cruz, Dominik S. Wild, Mari Carmen Bañuls +1
The computation of dynamical response functions is central to many problems in condensed matter physics. Owing to the rapid growth of quantum correlations following a quench, class…
Quasi-Adiabatic Processing of Thermal States
Reinis Irmejs, Mari Carmen Bañuls, J. Ignacio Cirac
We investigate the performance of an adiabatic evolution protocol when initialized from a Gibbs state at finite temperature. Specifically, we identify the diagonality of the final…
Quantum algorithms for cooling: a simple case study
Daniel Molpeceres, Sirui Lu, J. Ignacio Cirac +1
Preparation of low-energy quantum many-body states has a wide range of applications in quantum information processing and condensed matter physics. Quantum cooling algorithms offer…
Adiabatic quantum state preparation in integrable models
Maximilian Lutz, Lorenzo Piroli, Georgios Styliaris +1
We propose applying the adiabatic algorithm to prepare high-energy eigenstates of integrable models on a quantum computer. We first review the standard adiabatic algorithm to prepa…
Symmetry defects and gauging for quantum states with matrix product unitary symmetries
Adrián Franco-Rubio, Arkadiusz Bochniak, J. Ignacio Cirac
In this work, we examine the consequences of the existence of a finite group of matrix product unitary (MPU) symmetries for matrix product states (MPS). We generalize the well-unde…
Dynamical complexity of non-Gaussian many-body systems with dissipation
Guillermo González-García, Alexey V. Gorshkov, J. Ignacio Cirac +1
We characterize the dynamical state of many-body bosonic and fermionic many-body models with inter-site Gaussian couplings, on-site non-Gaussian interactions and local dissipation…
Parent Lindbladians for Matrix Product Density Operators
Yuhan Liu, Alberto Ruiz-de-Alarcón, Georgios Styliaris +3
Understanding quantum phases of matter is a fundamental goal in physics. For pure states, the representatives of phases are the ground states of locally interacting Hamiltonians, w…