Quantum 8, 1345 (2024). https://doi.org/10.22331/q-2024-05-14-1345 Hypergraph product codes are a promising avenue to achieving fault-tolerant quantum computation with constant overhead. When embedding these and other constant-rate qLDPC codes into 2D, a significant number of nonlocal […]
Quantum 8, 1344 (2024). https://doi.org/10.22331/q-2024-05-14-1344 We define code maps between Calderbank-Shor-Steane (CSS) codes using maps between chain complexes, and describe code surgery between such codes using a specific colimit in the category of chain complexes. […]
Quantum 8, 1343 (2024). https://doi.org/10.22331/q-2024-05-14-1343 Shortening quantum circuits is crucial to reducing the destructive effect of environmental decoherence and enabling useful algorithms. Here, we demonstrate an improvement in such compilation tasks via a combination of […]
Quantum 8, 1342 (2024). https://doi.org/10.22331/q-2024-05-13-1342 The decoherence effect caused by the coupling between the system and the environment undoubtedly leads to the errors in efficient implementations of two (or three) qubit logical gates in quantum […]
Quantum 8, 1341 (2024). https://doi.org/10.22331/q-2024-05-08-1341 We propose an analogue of $text{SU}(1,1)$ interferometry to measure rotation of a spin by using two-spin squeezed states. Attainability of the Heisenberg limit for the estimation of the rotation angle […]
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 […]
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