Phase-sensitive quantum measurement without controlled operations

Y Yang, A Christianen, MC Bañuls, DS Wild, JI Cirac - Physical Review Letters, 2024 - APS
Many quantum algorithms rely on the measurement of complex quantum amplitudes.
Standard approaches to obtain the phase information, such as the Hadamard test, give rise …

Matrix product state approximations to quantum states of low energy variance

KS Rai, JI Cirac, ÁM Alhambra - Quantum, 2024 - quantum-journal.org
We show how to efficiently simulate pure quantum states in one dimensional systems that
have both finite energy density and vanishingly small energy fluctuations. We do so by …

Digital quantum simulation of lattice fermion theories with local encoding

M Ballarin, G Cataldi, G Magnifico, D Jaschke… - Quantum, 2024 - quantum-journal.org
We numerically analyze the feasibility of a platform-neutral, general strategy to perform
quantum simulations of fermionic lattice field theories under open boundary conditions. The …

Observation of a finite-energy phase transition in a one-dimensional quantum simulator

A Schuckert, O Katz, L Feng, E Crane, A De… - arXiv preprint arXiv …, 2023 - arxiv.org
One of the most striking many-body phenomena in nature is the sudden change of
macroscopic properties as the temperature or energy reaches a critical value. Such …

Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution

N Matsumoto, S Tsutsui, YO Nakagawa… - arXiv preprint arXiv …, 2024 - arxiv.org
Simulating thermal-equilibrium properties at finite temperature plays a crucial role in
studying the nature of quantum many-body systems. In particular, implementing a finite …

Experimental Demonstration of Break-Even for the Compact Fermionic Encoding

R Nigmatullin, K Hemery, K Ghanem, S Moses… - arXiv preprint arXiv …, 2024 - arxiv.org
The utility of solving the Fermi-Hubbard model has been estimated in the billions of dollars.
Digital quantum computers can in principle address this task, but have so far been limited to …