Quantum 8, 1553 (2024). https://doi.org/10.22331/q-2024-12-10-1553 How well can quantum computers simulate classical dynamical systems? There is increasing effort in developing quantum algorithms to efficiently simulate dynamics beyond Hamiltonian simulation, but so far exact resource estimates […]
Quantum 8, 1552 (2024). https://doi.org/10.22331/q-2024-12-09-1552 Fault tolerant quantum computers repetitively apply a four-step procedure: First, perform a few one and two-qubit quantum gates. Second, perform a syndrome measurement on a subset of the qubits. Third, […]
Quantum 8, 1551 (2024). https://doi.org/10.22331/q-2024-12-04-1551 The exponential convergence to invariant subspaces of quantum Markov semigroups plays a crucial role in quantum information theory. One such example is in bosonic error correction schemes, where dissipation is […]
Quantum 8, 1550 (2024). https://doi.org/10.22331/q-2024-12-04-1550 Quasiprobability has become an increasingly popular notion for characterising non-classicality in quantum information, thermodynamics, and metrology. Two important distributions with non-positive quasiprobability are the Wigner function and the Glauber-Sudarshan function. […]
Quantum 8, 1549 (2024). https://doi.org/10.22331/q-2024-12-04-1549 We present a classical algorithm for simulating universal quantum circuits composed of “free” nearest-neighbour matchgates or equivalently fermionic-linear-optical (FLO) gates, and “resourceful” non-Gaussian gates. We achieve the promotion of the […]
Quantum 8, 1548 (2024). https://doi.org/10.22331/q-2024-12-04-1548 Gate-teleportation circuits are arguably among the most basic examples of computations believed to provide a quantum computational advantage: In seminal work [1], Terhal and DiVincenzo have shown that these circuits […]
Quantum 8, 1547 (2024). https://doi.org/10.22331/q-2024-12-04-1547 Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental […]
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 […]
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