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 […]
Quantum 8, 1321 (2024). https://doi.org/10.22331/q-2024-04-30-1321 We construct a new family of permutationally invariant codes that correct $t$ Pauli errors for any $tge 1$. We also show that codes in the new family correct quantum deletion […]
Quantum 8, 1320 (2024). https://doi.org/10.22331/q-2024-04-30-1320 We study the problem of approximating a quantum channel by one with as few Kraus operators as possible (in the sense that, for any input state, the output states of […]
Quantum 8, 1319 (2024). https://doi.org/10.22331/q-2024-04-30-1319 Estimating physical properties of quantum states from measurements is one of the most fundamental tasks in quantum science. In this work, we identify conditions on states under which it is […]
Quantum 8, 1318 (2024). https://doi.org/10.22331/q-2024-04-30-1318 A set of $k$ orthonormal bases of $mathbb C^d$ is called mutually unbiased if $|langle e,frangle |^2 = 1/d$ whenever $e$ and $f$ are basis vectors in distinct bases. A […]
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