Universal programmable quantum circuit schemes to emulate an operator

Anmer Daskin, Ananth Grama, Giorgos Kollias, Sabre Kais

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Unlike fixed designs, programmable circuit designs support an infinite number of operators. The functionality of a programmable circuit can be altered by simply changing the angle values of the rotation gates in the circuit. Here, we present a new quantum circuit design technique resulting in two general programmable circuit schemes. The circuit schemes can be used to simulate any given operator by setting the angle values in the circuit. This provides a fixed circuit design whose angles are determined from the elements of the given matrix-which can be non-unitary-in an efficient way. We also give both the classical and quantum complexity analysis for these circuits and show that the circuits require a few classical computations. For the electronic structure simulation on a quantum computer, one has to perform the following steps: prepare the initial wave function of the system; present the evolution operator U = e-iHt for a given atomic and molecular Hamiltonian H in terms of quantum gates array and apply the phase estimation algorithm to find the energy eigenvalues. Thus, in the circuit model of quantum computing for quantum chemistry, a crucial step is presenting the evolution operator for the atomic and molecular Hamiltonians in terms of quantum gate arrays. Since the presented circuit designs are independent from the matrix decomposition techniques and the global optimization processes used to find quantum circuits for a given operator, high accuracy simulations can be done for the unitary propagators of molecular Hamiltonians on quantum computers. As an example, we show how to build the circuit design for the hydrogen molecule.

Original languageEnglish
Article number234112
JournalJournal of Chemical Physics
Volume137
Issue number23
DOIs
Publication statusPublished - 21 Dec 2012

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operators
Networks (circuits)
Hamiltonians
Quantum computers
quantum computers
Quantum chemistry
quantum chemistry
Global optimization
quantum computation
matrices
Wave functions
Electronic structure
Mathematical operators
Hydrogen
eigenvalues
simulation
wave functions
electronic structure
Decomposition
decomposition

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

Universal programmable quantum circuit schemes to emulate an operator. / Daskin, Anmer; Grama, Ananth; Kollias, Giorgos; Kais, Sabre.

In: Journal of Chemical Physics, Vol. 137, No. 23, 234112, 21.12.2012.

Research output: Contribution to journalArticle

Daskin, Anmer ; Grama, Ananth ; Kollias, Giorgos ; Kais, Sabre. / Universal programmable quantum circuit schemes to emulate an operator. In: Journal of Chemical Physics. 2012 ; Vol. 137, No. 23.
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