Quantum simulation of second-quantized Hamiltonians in compact encoding
| Autor: | William M. Kirby, Peter J. Love, Michael Kreshchuk, Sultana Hadi |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Quantum Physics General Physics Basis (linear algebra) Yukawa potential FOS: Physical sciences Quantum simulator Data_CODINGANDINFORMATIONTHEORY 01 natural sciences Mathematical Sciences 010305 fluids & plasmas symbols.namesake Theoretical physics Quantization (physics) Ladder operator Qubit 0103 physical sciences Physical Sciences Chemical Sciences symbols Quantum Physics (quant-ph) 010306 general physics Linear combination Hamiltonian (quantum mechanics) |
| Zdroj: | Physical Review A, vol 104, iss 4 |
| Popis: | We describe methods for simulating general second-quantized Hamiltonians using the compact encoding, in which qubit states encode only the occupied modes in physical occupation number basis states. These methods apply to second-quantized Hamiltonians composed of a constant number of interactions, i.e., linear combinations of ladder operator monomials of fixed form. Compact encoding leads to qubit requirements that are optimal up to logarithmic factors. We show how to use sparse Hamiltonian simulation methods for second-quantized Hamiltonians in compact encoding, give explicit implementations for the required oracles, and analyze the methods. We also describe several example applications including the free boson and fermion theories, the $\phi^4$-theory, and the massive Yukawa model, all in both equal-time and light-front quantization. Our methods provide a general-purpose tool for simulating second-quantized Hamiltonians, with optimal or near-optimal scaling with error and model parameters. Comment: published version with some corrections; 27 pages, 4 figures |
| Databáze: | OpenAIRE |
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