Quantum 8, 1532 (2024). https://doi.org/10.22331/q-2024-11-20-1532 It has previously been established that adiabatic quantum computation, operating based on a continuous Zeno effect due to dynamical phases between eigenstates, is able to realise an optimal Grover-like quantum […]
Quantum 8, 1531 (2024). https://doi.org/10.22331/q-2024-11-20-1531 The hope of the quantum computing field is that quantum architectures are able to scale up and realize fault-tolerant quantum computing. Due to engineering challenges, such ”cheap” error correction may […]
Quantum 8, 1530 (2024). https://doi.org/10.22331/q-2024-11-20-1530 We explore the power of the unbounded Fan-Out gate and the Global Tunable gates generated by Ising-type Hamiltonians in constructing constant-depth quantum circuits, with particular attention to quantum memory devices. […]
Quantum 8, 1529 (2024). https://doi.org/10.22331/q-2024-11-20-1529 A colloquial interpretation of entropy is that it is the knowledge gained upon learning the outcome of a random experiment. Conditional entropy is then interpreted as the knowledge gained upon […]
Quantum 8, 1528 (2024). https://doi.org/10.22331/q-2024-11-20-1528 Dual unitary gates are highly non-local two-qudit unitary gates that have been studied extensively in quantum many-body physics and quantum information in the recent past. A special class of dual […]
Quantum 8, 1527 (2024). https://doi.org/10.22331/q-2024-11-19-1527 In an important recent development, Anshu, Breuckmann, and Nirkhe [3] resolved positively the so-called No Low-Energy Trivial State (NLTS) conjecture by Freedman and Hastings. The conjecture postulated the existence of […]
Quantum 8, 1526 (2024). https://doi.org/10.22331/q-2024-11-18-1526 A surprising ‘converse to the polynomial method’ of Aaronson et al. (CCC’16) shows that any bounded quadratic polynomial can be computed exactly in expectation by a 1-query algorithm up to […]
Quantum 8, 1525 (2024). https://doi.org/10.22331/q-2024-11-14-1525 The extension of the Rayleigh-Ritz variational principle to ensemble states $rho_{mathbf{w}}equivsum_k w_k |Psi_krangle langlePsi_k|$ with fixed weights $w_k$ lies ultimately at the heart of several recent methodological developments for targeting […]
Quantum 8, 1524 (2024). https://doi.org/10.22331/q-2024-11-14-1524 Observational entropy captures both the intrinsic uncertainty of a thermodynamic state and the lack of knowledge due to coarse-graining. We demonstrate two interpretations of observational entropy, one as the statistical […]
Quantum 8, 1523 (2024). https://doi.org/10.22331/q-2024-11-14-1523 Quantum re-uploading models have been extensively investigated as a form of machine learning within the context of variational quantum algorithms. Their trainability and expressivity are not yet fully understood and […]
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