Quantum 9, 1734 (2025). https://doi.org/10.22331/q-2025-05-06-1734 We propose in this work a practical approach to address the longstanding and challenging problem of quantum separability, leveraging the correlation matrices of generic observables. General separability conditions are obtained […]
Quantum 9, 1733 (2025). https://doi.org/10.22331/q-2025-05-06-1733 Recently, Apers and Piddock [TQC ’23] strengthened the connection between quantum walks and electrical networks via Kirchhoff’s Law and Ohm’s Law. In this work, we develop a new multidimensional electrical […]
Quantum 9, 1732 (2025). https://doi.org/10.22331/q-2025-05-05-1732 We present an error mitigation strategy composed of Echo Verification (EV) and Clifford Data Regression (CDR), the combination of which allows one to learn the effect of the quantum noise […]
Quantum 9, 1731 (2025). https://doi.org/10.22331/q-2025-05-05-1731 Building on the insight that engineered noise, specifically, engineered dephasing can enhance the adiabaticity of controlled quantum dynamics, we investigate how a dephasing-generating coupling to an auxiliary quantum system affects […]
Quantum 9, 1730 (2025). https://doi.org/10.22331/q-2025-05-05-1730 For random quantum circuits on $n$ qubits of depth $Theta(log n)$ with depolarizing noise, the task of sampling from the output state can be efficiently performed classically using a Pauli […]
Quantum 9, 1729 (2025). https://doi.org/10.22331/q-2025-05-05-1729 Non-Hermitian dynamics in quantum systems preserves the rank of the state density operator. Using this insight, we develop a geometric framework to describe its time evolution. In particular, we identify […]
Quantum 9, 1728 (2025). https://doi.org/10.22331/q-2025-05-05-1728 Constant-rate low-density parity-check (LDPC) codes are promising candidates for constructing efficient fault-tolerant quantum memories. However, if physical gates are subject to geometric-locality constraints, it becomes challenging to realize these codes. […]
Quantum 9, 1727 (2025). https://doi.org/10.22331/q-2025-05-05-1727 Error mitigation will play an important role in practical applications of near-term noisy quantum computers. Current error mitigation methods typically concentrate on correction quality at the expense of frugality (as […]
Quantum 9, 1726 (2025). https://doi.org/10.22331/q-2025-05-05-1726 We present an iterative generalisation of the quantum subspace expansion algorithm used with a Krylov basis. The iterative construction connects a sequence of subspaces via their lowest energy states. Diagonalising […]
Quantum 9, 1725 (2025). https://doi.org/10.22331/q-2025-05-05-1725 We study the estimation of relative entropy $D(rho|sigma)$ when $sigma$ is known. We show that the Cramér-Rao type bound equals the relative varentropy. Our estimator attains the Cramér-Rao type bound […]
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