Quantum 6, 873 (2022). https://doi.org/10.22331/q-2022-12-07-873 Topological data analysis (TDA) is an emergent field of data analysis. The critical step of TDA is computing the persistent Betti numbers. Existing classical algorithms for TDA are limited if […]
Quantum 6, 872 (2022). https://doi.org/10.22331/q-2022-12-07-872 The quantum Fourier transform (QFT) is a key primitive for quantum computing that is typically used as a subroutine within a larger computation, for instance for phase estimation. As such, […]
Quantum 6, 871 (2022). https://doi.org/10.22331/q-2022-12-07-871 We develop a framework of “semi-automatic differentiation” that combines existing gradient-based methods of quantum optimal control with automatic differentiation. The approach allows to optimize practically any computable functional and is […]
Quantum 6, 870 (2022). https://doi.org/10.22331/q-2022-12-07-870 Quantum computers may provide good solutions to combinatorial optimization problems by leveraging the Quantum Approximate Optimization Algorithm (QAOA). The QAOA is often presented as an algorithm for noisy hardware. However, […]
Quantum 6, 869 (2022). https://doi.org/10.22331/q-2022-12-07-869 What is the minimum time required to take a temperature? In this paper, we solve this question for a large class of processes where temperature is inferred by measuring a […]
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Quantum 6, 868 (2022). https://doi.org/10.22331/q-2022-12-01-868 The rapid progress in the development of quantum devices is in large part due to the availability of a wide range of characterization techniques allowing to probe, test and adjust […]
Quantum 6, 867 (2022). https://doi.org/10.22331/q-2022-12-01-867 We study the classical simulatability of Gottesman-Kitaev-Preskill (GKP) states in combination with arbitrary displacements, a large set of symplectic operations and homodyne measurements. For these types of circuits, neither continuous-variable […]
Quantum 6, 866 (2022). https://doi.org/10.22331/q-2022-12-01-866 Quantum fully homomorphic encryption (QFHE) allows to evaluate quantum circuits on encrypted data. We present a novel QFHE scheme, which extends Pauli one-time pad encryption by relying on the quaternion […]
Quantum 6, 865 (2022). https://doi.org/10.22331/q-2022-11-28-865 One of the key ways in which quantum mechanics differs from relativity is that it requires a fixed background reference frame for spacetime. In fact, this appears to be one […]
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