Quantum 5, 417 (2021). https://doi.org/10.22331/q-2021-03-23-417 Here we study the comparative power of classical and quantum learners for generative modelling within the Probably Approximately Correct (PAC) framework. More specifically we consider the following task: Given samples […]
Quantum 5, 416 (2021). https://doi.org/10.22331/q-2021-03-23-416 Today’s most widely used method of encoding quantum information in optical qubits is the dual-rail basis, often carried out through the polarisation of a single photon. On the other hand, […]
Quantum 5, 415 (2021). https://doi.org/10.22331/q-2021-03-22-415 Quantum computing systems need to be benchmarked in terms of practical tasks they would be expected to do. Here, we propose 3 “application-motivated” circuit classes for benchmarking: deep (relevant for […]
Quantum 5, 414 (2021). https://doi.org/10.22331/q-2021-03-17-414 Quantum measurement is a basic tool to manifest intrinsic quantum effects from fundamental tests to quantum information applications. While a measurement is typically performed to gain information on a quantum […]
Quantum 5, 413 (2021). https://doi.org/10.22331/q-2021-03-16-413 We introduce an approximate description of an $N$-qubit state, which contains sufficient information to estimate the expectation value of any observable to a precision that is upper bounded by the […]
Quantum 5, 412 (2021). https://doi.org/10.22331/q-2021-03-15-412 We consider the task of breaking down a quantum computation given as an isometry into C-NOTs and single-qubit gates, while keeping the number of C-NOT gates small. Although several decompositions […]
Quantum 5, 411 (2021). https://doi.org/10.22331/q-2021-03-15-411 Passivity is a fundamental concept that constitutes a necessary condition for any quantum system to attain thermodynamic equilibrium, and for a notion of temperature to emerge. While extensive work has […]
Quantum 5, 410 (2021). https://doi.org/10.22331/q-2021-03-15-410 Tensor networks represent the state-of-the-art in computational methods across many disciplines, including the classical simulation of quantum many-body systems and quantum circuits. Several applications of current interest give rise to […]
Quantum 5, 409 (2021). https://doi.org/10.22331/q-2021-03-11-409 The framework of quantum invariants is an elegant generalization of adiabatic quantum control to control fields that do not need to change slowly. Due to the unavailability of invariants for […]
Quantum 5, 408 (2021). https://doi.org/10.22331/q-2021-03-10-408 In stochastic thermodynamics work is a random variable whose average is bounded by the change in the free energy of the system. In most treatments, however, the work reservoir that […]
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