Quantum 7, 988 (2023). https://doi.org/10.22331/q-2023-04-27-988 Linear regression is a widely used technique to fit linear models and finds widespread applications across different areas such as machine learning and statistics. In most real-world scenarios, however, linear […]
Quantum 7, 987 (2023). https://doi.org/10.22331/q-2023-04-27-987 Topological quantum phases of quantum materials are defined through their topological invariants. These topological invariants are quantities that characterize the global geometrical properties of the quantum wave functions and thus […]
Quantum 7, 986 (2023). https://doi.org/10.22331/q-2023-04-20-986 This work overviews the single-particle two-way communication protocol recently introduced by del Santo and Dakić (dSD), and analyses it using the process matrix formalism. We give a detailed account of […]
Quantum 7, 985 (2023). https://doi.org/10.22331/q-2023-04-20-985 We introduce a methodology for generating random multi-qubit stabilizer codes based on solving a constraint satisfaction problem (CSP) on random bipartite graphs. This framework allows us to enforce stabilizer commutation, […]
Quantum 7, 984 (2023). https://doi.org/10.22331/q-2023-04-20-984 We develop a method to synthesize a class of entangling multi-qubit gates for a quantum computing platform with fixed Ising-type interaction with all-to-all connectivity. The only requirement on the flexibility […]
Quantum 7, 983 (2023). https://doi.org/10.22331/q-2023-04-20-983 For a random set $mathcal{S} subset U(d)$ of quantum gates we provide bounds on the probability that $mathcal{S}$ forms a $delta$-approximate $t$-design. In particular we have found that for $mathcal{S}$ […]
Quantum 7, 982 (2023). https://doi.org/10.22331/q-2023-04-17-982 Exceptional point (EP) is a spectral singularity in non-Hermitian systems. The passing over the EP leads to a phase transition, which endows the system with unconventional features that find a […]
Quantum 7, 981 (2023). https://doi.org/10.22331/q-2023-04-17-981 The application of quantum computation to accelerate machine learning algorithms is one of the most promising areas of research in quantum algorithms. In this paper, we explore the power of […]
Quantum 7, 980 (2023). https://doi.org/10.22331/q-2023-04-13-980 Device-independent (DI) protocols, such as DI conference key agreement (DICKA) and DI randomness expansion (DIRE), certify private randomness by observing nonlocal correlations when two or more parties test a Bell […]
Quantum 7, 979 (2023). https://doi.org/10.22331/q-2023-04-13-979 A web of cohomological facts relates quantum error correction, measurement-based quantum computation, symmetry protected topological order and contextuality. Here we extend this web to quantum computation with magic states. In […]
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