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Quantum computational supremacy in the sampling of bosonic random walkers on a one-dimensional lattice
by
Miyake, Akimasa
, Muraleedharan, Gopikrishnan
, Deutsch, Ivan H
in
Algorithms
/ Boson sampling
/ Bosons
/ Complexity
/ Optical communication
/ optical lattice and traps
/ Optical lattices
/ Optimal control
/ Physics
/ quantum gas microscopes
/ quantum simulation
/ quantum walks
/ Random walk
/ Sampling
/ Time dependence
2019
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Quantum computational supremacy in the sampling of bosonic random walkers on a one-dimensional lattice
by
Miyake, Akimasa
, Muraleedharan, Gopikrishnan
, Deutsch, Ivan H
in
Algorithms
/ Boson sampling
/ Bosons
/ Complexity
/ Optical communication
/ optical lattice and traps
/ Optical lattices
/ Optimal control
/ Physics
/ quantum gas microscopes
/ quantum simulation
/ quantum walks
/ Random walk
/ Sampling
/ Time dependence
2019
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Do you wish to request the book?
Quantum computational supremacy in the sampling of bosonic random walkers on a one-dimensional lattice
by
Miyake, Akimasa
, Muraleedharan, Gopikrishnan
, Deutsch, Ivan H
in
Algorithms
/ Boson sampling
/ Bosons
/ Complexity
/ Optical communication
/ optical lattice and traps
/ Optical lattices
/ Optimal control
/ Physics
/ quantum gas microscopes
/ quantum simulation
/ quantum walks
/ Random walk
/ Sampling
/ Time dependence
2019
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Quantum computational supremacy in the sampling of bosonic random walkers on a one-dimensional lattice
Journal Article
Quantum computational supremacy in the sampling of bosonic random walkers on a one-dimensional lattice
2019
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Overview
We study the sampling complexity of a probability distribution associated with an ensemble of identical noninteracting bosons undergoing a quantum random walk on a one-dimensional lattice. With uniform nearest-neighbor hopping we show that one can efficiently sample the distribution for times logarithmic in the size of the system, while for longer times there is no known efficient sampling algorithm. With time-dependent hopping and optimal control, we design the time evolution to approximate an arbitrary Haar-random unitary map analogous to that designed for photons in a linear optical network. This approach highlights a route to generating quantum complexity by optimal control only of a single-body unitary matrix. We study this in the context of two potential experimental realizations: a spinor optical lattice of ultracold atoms and a quantum gas microscope.
Publisher
IOP Publishing
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