Markov Chains and Hitting Times for Error Accumulation in Quantum Circuits

Ma, Ling; Sanders, Jaron

doi:10.1007/978-3-030-92511-6_3

Cited by 2 publications

(2 citation statements)

References 41 publications

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“…Quantum error correction solutions, which address this problem, are difficult to realize in the current era of the Noisy Intermediate-Scale Quantum (NISQ) circuits 23 . The accumulated errors lead to drop of fidelity with the number of computation steps, which has been recently shown both theoretically 24,59,60 and in experiment 25,27 , including photonic setups 61 . It is also foreseen that larger systems will suffer from higher individual gate errors due to technological constraints in controlling a large number of qubits 26 .…”

Section: Discussionmentioning

confidence: 92%

“…We employ a single multiport interferometer with a tunable parameter that encodes time to reach a late state of evolution. This approach allows us to avoid error accumulation that is typical for methods that build on numerous quantum gates or steps of a quantum algorithm [22][23][24][25][26][27] . This is a counterpart of a hardware-encoded operation in classical computation, where a single binary instruction realizes a complex algorithm consisting of several primitive steps in one tick of a system clock.…”

Section: Introductionmentioning

confidence: 99%

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Quantum simulations with multiphoton Fock states

et al. 2021

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Quantum simulations are becoming an essential tool for studying complex phenomena, e.g. quantum topology, quantum information transfer and relativistic wave equations, beyond the limitations of analytical computations and experimental observations. To date, the primary resources used in proof-of-principle experiments are collections of qubits, coherent states or multiple single-particle Fock states. Here we show a quantum simulation performed using genuine higher-order Fock states, with two or more indistinguishable particles occupying the same bosonic mode. This was implemented by interfering pairs of Fock states with up to five photons on an interferometer, and measuring the output states with photon-number-resolving detectors. Already this resource-efficient demonstration reveals topological matter, simulates non-linear systems and elucidates a perfect quantum transfer mechanism which can be used to transport Majorana fermions.

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