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Quantum Simulation
Quantum simulation by qubitization without Toffoli gates
arXiv
Authors: Mark Steudtner, Stephanie Wehner
Year
2019
Paper ID
15098
Status
Preprint
Abstract Read
~2 min
Abstract Words
101
Citations
N/A
Abstract
Qubitization is a modern approach to estimate Hamiltonian eigenvalues without simulating its time evolution. While in this way approximation errors are avoided, its resource and gate requirements are more extensive: qubitization requires additional qubits to store information about the Hamiltonian, and Toffoli gates to probe them throughout the routine. Recently, it was shown that storing the Hamiltonian in a unary representation can alleviate the need for such gates in one of the qubitization subroutines. Building on that principle, we develop an entirely new decomposition of the entire algorithm: without Toffoli gates, we can encode the Hamiltonian into qubits within logarithmic depth.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2019 reference point for readers tracking recent quantum research.
- Qubitization is a modern approach to estimate Hamiltonian eigenvalues without simulating its time evolution.
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