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  4. Computational advantage from the quantum superposition of multiple temporal orders of photonic gates
 
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Computational advantage from the quantum superposition of multiple temporal orders of photonic gates
Taddei, Márcio M.
Dr. Cariñe-Catrileo, Jaime 
Facultad de Ingeniería 
Martínez, Daniel
García, Tania
Guerrero, Nayda
Abbott, Alastair A.
Araújo, Mateus
Branciard, Cyril
Gómez, Esteban S.
Walborn, Stephen P.
10.1103/PRXQuantum.2.010320
American Physical Society
2021
Models for quantum computation with circuit connections subject to the quantum superposition principle have recently been proposed. In them, a control quantum system can coherently determine the order in which a target quantum system undergoes N gate operations. This process, known as the quantum N-switch, is a resource for several information-processing tasks. In particular, it provides a computational advantage—over fixed-gate-order quantum circuits—for phase-estimation problems involving N unknown unitary gates. However, the corresponding algorithm requires an experimentally unfeasible target-system dimension (super)exponential in N. Here, we introduce a promise problem for which the quantum N-switch gives an equivalent computational speedup with target-system dimension as small as 2 regardless of N. We use state-of-the-art multicore optical-fiber technology to experimentally demonstrate the quantum N-switch with N = 4 gates acting on a photonic-polarization qubit. This is the first observation of a quantum superposition of more than N = 2 temporal orders, demonstrating its usefulness for efficient phase estimation.
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Quantum computation
Quantum information processing
Ciencias físicas
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