Quantum 8, 1546 (2024). https://doi.org/10.22331/q-2024-12-03-1546 Toric $t$-designs, or equivalently $t$-designs on the diagonal subgroup of the unitary group, are sets of points on the torus over which sums reproduce integrals of degree $t$ monomials over […]
Quantum 8, 1545 (2024). https://doi.org/10.22331/q-2024-12-03-1545 The transport of conserved quantities like spin and charge is fundamental to characterizing the behavior of quantum many-body systems. Numerically simulating such dynamics is generically challenging, which motivates the consideration […]
Quantum 8, 1544 (2024). https://doi.org/10.22331/q-2024-12-03-1544 Machine learning tasks are an exciting application for quantum computers, as it has been proven that they can learn certain problems more efficiently than classical ones. Applying quantum machine learning […]
Quantum 8, 1543 (2024). https://doi.org/10.22331/q-2024-12-03-1543 It was recently found that the indefinite causal order in the quantum switch can be certified device-independently when assuming the impossibility of superluminal influences. Here we strengthen this result in […]
Quantum 8, 1542 (2024). https://doi.org/10.22331/q-2024-11-27-1542 We introduce and experimentally test a machine-learning-based method for ranking logically equivalent quantum circuits based on expected performance estimates derived from a training procedure conducted on real hardware. We apply […]
Quantum 8, 1541 (2024). https://doi.org/10.22331/q-2024-11-27-1541 Implementing robust quantum error correction (QEC) is imperative for harnessing the promise of quantum technologies. We introduce a framework that takes $any$ classical code and explicitly constructs the corresponding QEC […]
Quantum 8, 1540 (2024). https://doi.org/10.22331/q-2024-11-27-1540 We developed new concentration inequalities for a quantum state on an $N$-qudit system or measurement outcomes on it that apply to an adversarial setup, where an adversary prepares the quantum […]
Quantum 8, 1539 (2024). https://doi.org/10.22331/q-2024-11-26-1539 A promising route towards fault-tolerant quantum error correction is the concatenation of a Gottesman-Kitaev-Preskill (GKP) code with a qubit code. Development of such concatenated codes requires simulation tools which realistically […]
Quantum 8, 1538 (2024). https://doi.org/10.22331/q-2024-11-26-1538 The unitary coupled cluster (UCC) ansatz is a promising tool for achieving high-precision results using the variational quantum eigensolver (VQE) algorithm in the NISQ era. However, results on quantum hardware […]
Quantum 8, 1537 (2024). https://doi.org/10.22331/q-2024-11-26-1537 We study the problem of learning the Hamiltonian of a many-body quantum system from experimental data. We show that the rate of learning depends on the amount of control available […]
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