Quantum 7, 991 (2023). https://doi.org/10.22331/q-2023-04-27-991 In classical physics, memoryless dynamics and Markovian statistics are one and the same. This is not true for quantum dynamics, first and foremost because quantum measurements are invasive. Going beyond […]
Quantum 7, 990 (2023). https://doi.org/10.22331/q-2023-04-27-990 In the context of irreversible dynamics, associating to a physical process its intuitive reverse can result to be a quite ambiguous task. It is a standard choice to define the […]
Quantum 7, 989 (2023). https://doi.org/10.22331/q-2023-04-27-989 In the training of over-parameterized model functions via gradient descent, sometimes the parameters do not change significantly and remain close to their initial values. This phenomenon is called $textit{lazy training}$ […]
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 […]
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