Quantum 8, 1410 (2024). https://doi.org/10.22331/q-2024-07-15-1410 Using near-term quantum computers to achieve a quantum advantage requires efficient strategies to improve the performance of the noisy quantum devices presently available. We develop and experimentally validate two efficient […]
Quantum 8, 1409 (2024). https://doi.org/10.22331/q-2024-07-15-1409 Digital quantum simulation has broad applications in approximating unitary evolution of Hamiltonians. In practice, many simulation tasks for quantum systems focus on quantum states in the low-energy subspace instead of […]
Quantum 8, 1408 (2024). https://doi.org/10.22331/q-2024-07-11-1408 In this work we present a proposal for realising non-Abelian anyons on a NISQ device. In particular we explore the feasibility of implementing the quantum double model $D(D_4)$. We propose […]
Quantum 8, 1407 (2024). https://doi.org/10.22331/q-2024-07-11-1407 Models for open quantum systems, which play important roles in electron transport problems and quantum computing, must take into account the interaction of the quantum system with the surrounding environment. […]
Quantum 8, 1406 (2024). https://doi.org/10.22331/q-2024-07-11-1406 In this paper we will attempt to answer the following question: what are the natural quantum subsystems which emerge out of a system’s dynamical laws? To answer this question we […]
Quantum 8, 1405 (2024). https://doi.org/10.22331/q-2024-07-10-1405 We propose an estimation procedure for $d$-dimensional unitary transformations. For $dgt2$, the unitary transformations close to the identity are estimated saturating the quantum Cramér-Rao bound. For $d=2$, the estimation of […]
Quantum 8, 1404 (2024). https://doi.org/10.22331/q-2024-07-10-1404 The classical embeddability problem asks whether a given stochastic matrix $T$, describing transition probabilities of a $d$-level system, can arise from the underlying homogeneous continuous-time Markov process. Here, we investigate […]
Quantum 8, 1403 (2024). https://doi.org/10.22331/q-2024-07-10-1403 The CSS code construction is a powerful framework used to express features of a quantum code in terms of a pair of underlying classical codes. Its subsystem extension allows for […]
Quantum 8, 1402 (2024). https://doi.org/10.22331/q-2024-07-10-1402 Communication complexity quantifies how difficult it is for two distant computers to evaluate a function $f(X,Y)$, where the strings $X$ and $Y$ are distributed to the first and second computer […]
Quantum 8, 1401 (2024). https://doi.org/10.22331/q-2024-07-10-1401 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 studying the […]
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