Lattice Gauge Theory for a Quantum Computer
- URL: http://arxiv.org/abs/2002.10028v1
- Date: Mon, 24 Feb 2020 01:16:49 GMT
- Title: Lattice Gauge Theory for a Quantum Computer
- Authors: Richard C. Brower, David Berenstein and Hiroki Kawai
- Abstract summary: Hamiltonian was introduced two decades ago as an alternative to Wilson's Euclidean lattice QCD with gauge fields represented by bi-linear fermion/anti-fermion operators.
D-theory leads naturally to quantum Qubit algorithms.
Digital quantum computing for gauge theories, the simplest example of U(1) compact QED on triangular lattice is defined.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The quantum link~\cite{Brower:1997ha} Hamiltonian was introduced two decades
ago as an alternative to Wilson's Euclidean lattice QCD with gauge fields
represented by bi-linear fermion/anti-fermion operators. When generalized this
new microscopic representation of lattice field theories is referred as {\tt
D-theory}~\cite{Brower:2003vy}. Recast as a Hamiltonian in Minkowski space for
real time evolution, D-theory leads naturally to quantum Qubit algorithms. Here
to explore digital quantum computing for gauge theories, the simplest example
of U(1) compact QED on triangular lattice is defined and gauge invariant
kernels for the Suzuki-Trotter expansions are expressed as Qubit circuits
capable of being tested on the IBM-Q and other existing Noisy Intermediate
Scale Quantum (NISQ) hardware. This is a modest step in exploring the quantum
complexity of D-theory to guide future applications to high energy physics and
condensed matter quantum field theories.
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