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 […]
Finding ways to integrate electronics into living tissue could be crucial for everything from brain implants to new medical technologies. A new approach has shown that it’s possible to 3D print circuits into living worms. […]
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 […]
Quantum 7, 978 (2023). https://doi.org/10.22331/q-2023-04-13-978 Extracting classical information from quantum systems is an essential step of many quantum algorithms. However, this information could be corrupted as the systems are prone to quantum noises, and its […]
Quantum 7, 977 (2023). https://doi.org/10.22331/q-2023-04-13-977 Simulating many-body quantum systems is a promising task for quantum computers. However, the depth of most algorithms, such as product formulas, scales with the number of terms in the Hamiltonian, […]
Quantum 7, 976 (2023). https://doi.org/10.22331/q-2023-04-13-976 Quantum homomorphic encryption, which allows computation by a server directly on encrypted data, is a fundamental primitive out of which more complex quantum cryptography protocols can be built. For such […]
Quantum 7, 975 (2023). https://doi.org/10.22331/q-2023-04-13-975 Mapping fermionic operators to qubit operators is an essential step for simulating fermionic systems on a quantum computer. We investigate how the choice of such a mapping interacts with the […]
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