# Local spin operators for fermion simulations

@article{Whitfield2016LocalSO, title={Local spin operators for fermion simulations}, author={James Daniel Whitfield and Vojtvech Havl'ivcek and Matthias Troyer}, journal={Physical Review A}, year={2016}, volume={94}, pages={030301} }

Digital quantum simulation of fermionic systems is important in the context of chemistry and physics. Simulating fermionic models on general purpose quantum computers requires imposing a fermionic algebra on qubits. The previously studied Jordan-Wigner and Bravyi-Kitaev transformations are two techniques for accomplishing this task. Here, we reexamine an auxiliary fermion construction which maps fermionic operators to local operators on qubits. The local simulation is performed by relaxing the…

## 40 Citations

Quantum codes for quantum simulation of fermions on a square lattice of qubits

- PhysicsPhysical Review A
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Quantum simulation of fermionic systems is a promising application of quantum computers, but to program them, we need to map fermionic states and operators to qubit states and quantum gates. While…

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Simulating fermionic systems on a quantum computer requires a high-performing mapping of fermionic states to qubits. The key characteristic of an eﬃcient mapping is its ability to translate local…

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- 2022

Through the introduction of auxiliary fermions, or an enlarged spin space, one can map local fermion Hamiltonians onto local spin Hamiltonians, at the expense of introducing a set of additional…

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Majorana-Based Fermionic Quantum Computation.

- PhysicsPhysical review letters
- 2018

The scheme has a lower overhead for implementing both unitary coupled cluster variational quantum eigensolver and quantum phase estimation algorithms, allowing for simulation of the Trotterized Hubbard Hamiltonian in O(1) time per unitary step.

Low Weight Fermionic Encodings for Lattice Models

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- 2020

We present two fermion to qubit encodings tailored to square and hexagonal lattices that preserve the locality of even fermionic operators. These encodings use fewer than 1.5 qubits per fermionic…

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- 2015

We present a quantum algorithm for the simulation of molecular systems that is asymptotically more efficient than all previous algorithms in the literature in terms of the main problem parameters. As…

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