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 […]
Quantum 8, 1327 (2024). https://doi.org/10.22331/q-2024-04-30-1327 We present a general strategy for mapping fermionic systems to quantum hardware with square qubit connectivity which yields low-depth quantum circuits, counted in the number of native two-qubit fSIM gates. […]
Quantum 8, 1326 (2024). https://doi.org/10.22331/q-2024-04-30-1326 Measurement-induced phase transition arises from the competition between a deterministic quantum evolution and a repeated measurement process. We explore the measurement-induced phase transition through the Quantum Fisher Information in two […]
Quantum 8, 1325 (2024). https://doi.org/10.22331/q-2024-04-30-1325 We consider the complexity of the local Hamiltonian problem in the context of fermionic Hamiltonians with $mathcal N=2 $ supersymmetry and show that the problem remains $mathsf{QMA}$-complete. Our main motivation […]
Quantum 8, 1324 (2024). https://doi.org/10.22331/q-2024-04-30-1324 In distributed computing, a Byzantine fault is a condition where a component behaves inconsistently, showing different symptoms to different components of the system. Consensus among the correct components can be […]
Quantum 8, 1323 (2024). https://doi.org/10.22331/q-2024-04-30-1323 It was recently shown that a hidden variable model can be constructed for universal quantum computation with magic states on qubits. Here we show that this result can be extended, […]
Quantum 8, 1322 (2024). https://doi.org/10.22331/q-2024-04-30-1322 Pricing financial derivatives on quantum computers typically includes quantum arithmetic components which contribute heavily to the quantum resources required by the corresponding circuits. In this manuscript, we introduce a method […]
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