##### Department of Mathematics,

University of California San Diego

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### Quantum Information and Computation Seminar

## Peter Love

#### Haverford College

## Fermionic quantum simulation: From Jordan-Wigner to Bravyi-Kitaev

##### Abstract:

Simulation of fermionic systems has been a topic of interest in quantum simulation since Feynman's first papers on the topic. It has been known for some time how to simulate fermionic systems and scalable proposals for electronic structure calculations on quantum computers require some solution to this problem. Current work makes use of the Jordan-Wigner transformation to track phases arising from exchange anti-symmetry. For a single term in a fermionic Hamiltonian on N modes the Jordan wigner transformation requires an overhead of O(N) gates. In this talk I will give an alternative to the Jordan Wigner transformation, originally developed by Bravyi and Kitaev, which reduces this overhead to O(log N). We give the details of this transformation for electronic structure Hamiltonians and give the minimal basis model of the Hydrogen molecule as an example.

Host: David Meyer

### October 16, 2012

### 2:00 PM

### AP&M 6402

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