Quantum 8, 1340 (2024). https://doi.org/10.22331/q-2024-05-08-1340 The Haar measure plays a vital role in quantum information, but its study often requires a deep understanding of representation theory, posing a challenge for beginners. This tutorial aims to […]
Quantum 8, 1339 (2024). https://doi.org/10.22331/q-2024-05-08-1339 Absolutely maximally entangled (AME) states of $k$ qudits (also known as perfect tensors) are quantum states that have maximal entanglement for all possible bipartitions of the sites/parties. We consider the […]
Quantum 8, 1338 (2024). https://doi.org/10.22331/q-2024-05-07-1338 According to relativity, the reading of an ideal clock is interpreted as the elapsed proper time along its classical trajectory through spacetime. In contrast, quantum theory allows the association of […]
Quantum 8, 1337 (2024). https://doi.org/10.22331/q-2024-05-06-1337 Between NISQ (noisy intermediate scale quantum) approaches without any proof of robust quantum advantage and fully fault-tolerant quantum computation, we propose a scheme to achieve a provable superpolynomial quantum advantage […]
Quantum 8, 1336 (2024). https://doi.org/10.22331/q-2024-05-06-1336 Characterizing fluctuations of work in coherent quantum systems is notoriously problematic. Here we reveal the ultimate source of the problem by proving that ($mathfrak{A}$) energy conservation and ($mathfrak{B}$) the Jarzynski […]
Quantum 8, 1335 (2024). https://doi.org/10.22331/q-2024-05-06-1335 In physics, it is crucial to identify operational measurement procedures to give physical meaning to abstract quantities. There has been significant effort to define time operationally using quantum systems, but […]
Quantum 8, 1334 (2024). https://doi.org/10.22331/q-2024-05-02-1334 The inherent degeneracy of quantum low-density parity-check codes poses a challenge to their decoding, as it significantly degrades the error-correction performance of classical message-passing decoders. To improve their performance, a […]
Quantum 8, 1333 (2024). https://doi.org/10.22331/q-2024-05-02-1333 Bell inequalities play a key role in certifying quantum properties for device-independent quantum information protocols. It is still a major challenge, however, to devise Bell inequalities tailored for an arbitrary […]
Quantum 8, 1332 (2024). https://doi.org/10.22331/q-2024-05-02-1332 Losses in the transmission channel, which increase with distance, pose a major obstacle to photonics demonstrations of quantum nonlocality and its applications. Recently, Chaturvedi, Viola, and Pawlowski (CVP) [arXiv:2211.14231] introduced […]
Quantum 8, 1331 (2024). https://doi.org/10.22331/q-2024-05-02-1331 Quantum Wielandt’s inequality gives an optimal upper bound on the minimal length $k$ such that length-$k$ products of elements in a generating system span $M_n(mathbb{C})$. It is conjectured that $k$ […]
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