Quantum 9, 1901 (2025). https://doi.org/10.22331/q-2025-10-31-1901 Several quantum and classical Monte Carlo algorithms for Betti Number Estimation (BNE) on clique complexes have recently been proposed, though it is unclear how their performances compare. We review these […]
Quantum 9, 1900 (2025). https://doi.org/10.22331/q-2025-10-31-1900 We introduce the fermionic satisfiability problem, Fermionic $k$-SAT: this is the problem of deciding whether there is a fermionic state in the null-space of a collection of fermionic, parity-conserving, projectors […]
Quantum 9, 1899 (2025). https://doi.org/10.22331/q-2025-10-29-1899 We investigate multi-mode GKP (Gottesman–Kitaev–Preskill) quantum error-correcting codes from a geometric perspective. First, we construct their moduli space as a quotient of groups and exhibit it as a fiber bundle […]
Quantum 9, 1898 (2025). https://doi.org/10.22331/q-2025-10-29-1898 We present Learning-Driven Annealing (LDA), a framework that links individual quantum annealing evolutions into a global solution strategy to mitigate hardware constraints such as short annealing times and integrated control […]
Quantum 9, 1897 (2025). https://doi.org/10.22331/q-2025-10-28-1897 Quantum error correction plays a prominent role in the realization of quantum computation, and quantum low-density parity-check (qLDPC) codes are believed to be practically useful stabilizer codes. While qLDPC codes […]
Quantum 9, 1896 (2025). https://doi.org/10.22331/q-2025-10-28-1896 We investigate the dependence of physical observable of open quantum systems with Bosonic bath on the bath correlation function. We provide an error estimate of the difference of physical observable […]
Quantum 9, 1895 (2025). https://doi.org/10.22331/q-2025-10-28-1895 A path for efficient classical simulation of the DQC1 circuit that estimates the trace of an implementable unitary under the zero discord condition [17] is presented. This result reinforces the […]
Quantum 9, 1894 (2025). https://doi.org/10.22331/q-2025-10-28-1894 Nonlocal games play a crucial role in quantum information theory and have numerous applications in certification and cryptographic protocols. Kalai et al. (STOC 2023) introduced a procedure to compile a […]
Quantum 9, 1893 (2025). https://doi.org/10.22331/q-2025-10-23-1893 Large-scale quantum circuits are required to exploit the advantages of quantum computers. Despite significant advancements in quantum hardware, scalability remains a challenge, with errors accumulating as more qubits and gates […]
Quantum 9, 1892 (2025). https://doi.org/10.22331/q-2025-10-22-1892 We consider the maximum cut and maximum independent set problems on random regular graphs in the infinite-size limit, and calculate the energy densities achieved by QAOA for high degrees up […]
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