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 $k$ […]
Quantum 8, 1330 (2024). https://doi.org/10.22331/q-2024-05-02-1330 Copy-protection allows a software distributor to encode a program in such a way that it can be evaluated on any input, yet it cannot be “pirated” – a notion that […]
Quantum 8, 1329 (2024). https://doi.org/10.22331/q-2024-05-02-1329 We present the construction of standard entanglement-assisted (EA) qubit Reed-Muller (RM) codes and their tensor product variants from classical RM codes. We show that the EA RM codes obtained using […]
Quantum 8, 1328 (2024). https://doi.org/10.22331/q-2024-05-02-1328 Memory is the fundamental form of temporal complexity: when present but uncontrollable, it manifests as non-Markovian noise; conversely, if controllable, memory can be a powerful resource for information processing. Memory […]
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