Quantum 8, 1500 (2024). https://doi.org/10.22331/q-2024-10-10-1500 Nonlinear boolean equation systems play an important role in a wide range of applications. Grover’s algorithm is one of the best-known quantum search algorithms in solving the nonlinear boolean equation […]
Quantum 8, 1499 (2024). https://doi.org/10.22331/q-2024-10-10-1499 We constrain a broad class of teleportation protocols using insights from locality. In the “standard” teleportation protocols we consider, all outcome-dependent unitaries are Pauli operators conditioned on linear functions of […]
Quantum 8, 1498 (2024). https://doi.org/10.22331/q-2024-10-10-1498 Quantum technologies have the potential to solve certain computationally hard problems with polynomial or super-polynomial speedups when compared to classical methods. Unfortunately, the unstable nature of quantum information makes it […]
Quantum 8, 1497 (2024). https://doi.org/10.22331/q-2024-10-10-1497 While volume violation of area law has been exhibited in several quantum spin chains, the construction of a corresponding ground state in higher dimensions, entangled in more than one direction, […]
Quantum 8, 1496 (2024). https://doi.org/10.22331/q-2024-10-10-1496 We develop three new methods to implement any Linear Combination of Unitaries (LCU), a powerful quantum algorithmic tool with diverse applications. While the standard LCU procedure requires several ancilla qubits […]
Quantum 8, 1495 (2024). https://doi.org/10.22331/q-2024-10-10-1495 There has been much recent interest in near-term applications of quantum computers, i.e., using quantum circuits that have short decoherence times due to hardware limitations. Variational quantum algorithms (VQA), wherein […]
Quantum 8, 1494 (2024). https://doi.org/10.22331/q-2024-10-10-1494 Quantum Darwinism builds on decoherence theory to explain the emergence of classical behavior in a fundamentally quantum universe. Within this framework we prove two crucial insights about the emergence of […]
Quantum 8, 1493 (2024). https://doi.org/10.22331/q-2024-10-04-1493 The computational capabilities of near-term quantum computers are limited by the noisy execution of gate operations and a limited number of physical qubits. Hybrid variational algorithms are well-suited to near-term […]
Quantum 8, 1492 (2024). https://doi.org/10.22331/q-2024-10-04-1492 We prove that the stabilizer fidelity is multiplicative for the tensor product of an arbitrary number of single-qubit states. We also show that the relative entropy of magic becomes additive […]
Quantum 8, 1491 (2024). https://doi.org/10.22331/q-2024-10-04-1491 ZX-calculus has proved to be a useful tool for quantum technology with a wide range of successful applications. Most of these applications are of an algebraic nature. However, other tasks […]
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