Quantum 8, 1504 (2024). https://doi.org/10.22331/q-2024-10-23-1504 We develop quantum algorithms for pricing Asian and barrier options under the Heston model, a popular stochastic volatility model, and estimate their costs, in terms of T-count, T-depth and number […]
Quantum 8, 1503 (2024). https://doi.org/10.22331/q-2024-10-22-1503 Hybrid quantum-classical algorithms appear to be the most promising approach for near-term quantum applications. An important bottleneck is the classical optimization loop, where the multiple local minima and the emergence […]
Quantum 8, 1502 (2024). https://doi.org/10.22331/q-2024-10-18-1502 Quantum machine learning with quantum kernels for classification problems is a growing area of research. Recently, quantum kernel alignment techniques that parameterise the kernel have been developed, allowing the kernel […]
Quantum 8, 1501 (2024). https://doi.org/10.22331/q-2024-10-18-1501 In this paper, we present two constructions of quantum locally testable codes (QLTC) with constant soundness. In the first approach, we introduce an operation called check product, and show how […]
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 […]
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