Quantum 10, 2076 (2026). https://doi.org/10.22331/q-2026-04-21-2076 Many practically important NP-hard optimization problems are inherently higher-order polynomial optimizations, which are typically addressed using approximation algorithms. Classical relaxations express polynomial objectives over a polynomial basis and solve the […]
Quantum 10, 2075 (2026). https://doi.org/10.22331/q-2026-04-21-2075 In this paper, we investigate three schemes for implementing Controlled-Z (CZ) gates between individual ytterbium (Yb) rare-earth ions doped into yttrium orthovanadate (YVO$_4$ or YVO). Specifically, we investigate the CZ […]
Quantum 10, 2074 (2026). https://doi.org/10.22331/q-2026-04-20-2074 The Poincaré recurrence theorem shows that conservative systems in a bounded region of phase space eventually return arbitrarily close to their initial state after a finite amount of time. An […]
Quantum 10, 2073 (2026). https://doi.org/10.22331/q-2026-04-16-2073 We can design efficient quantum error-correcting (QEC) codes by tailoring them to our choice of quantum architecture. Useful tools for constructing such codes include Clifford deformations and appropriate gauge fixings […]
Quantum 10, 2072 (2026). https://doi.org/10.22331/q-2026-04-16-2072 Many alternative approaches to construct quantum channels with large entangling capacity were proposed in the past decade, resulting in multiple isolated gates. In this work, we put forward a novel […]
Quantum 10, 2071 (2026). https://doi.org/10.22331/q-2026-04-16-2071 As quantum computing moves toward fault-tolerant architectures, quantum error correction (QEC) decoder performance is increasingly critical for scalability. Understanding the impact of transitioning from floating-point software to finite-precision hardware is […]
Quantum 10, 2070 (2026). https://doi.org/10.22331/q-2026-04-16-2070 Friction in atomistic systems is usually described by the classical Prandtl-Tomlinson model suitable for capturing the dragging force of a nanoparticle in a periodic potential. Here we consider the quantum […]
Quantum 10, 2069 (2026). https://doi.org/10.22331/q-2026-04-15-2069 Magic-state resource theory is a fundamental framework with far-reaching applications in quantum error correction and the classical simulation of quantum systems. Recent advances have significantly deepened our understanding of magic […]
Quantum 10, 2068 (2026). https://doi.org/10.22331/q-2026-04-15-2068 The present era of quantum processors with hundreds to thousands of noisy qubits has sparked interest in understanding the computational power of these devices and how to leverage it to […]
Quantum 10, 2067 (2026). https://doi.org/10.22331/q-2026-04-15-2067 Approximating the $k$-th spectral gap $Delta_k=|lambda_k-lambda_{k+1}|$ and the corresponding midpoint $mu_k=frac{lambda_k+lambda_{k+1}}{2}$ of an $Ntimes N$ Hermitian matrix with eigenvalues $lambda_1geqlambda_2geqldotsgeqlambda_N$, is an important special case of the eigenproblem with numerous […]
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