QTI-TH Forum
Variable particle number on a quantum computer
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Europe/Zurich
4/2-037 - TH meeting room (CERN)
Description
We develop theoretical methods for the implementation of creation and destruction operators in separate registers of a quantum computer, allowing for a transparent and dynamical creation and destruction of particle modes in second quantization in problems with variable particle number, of interest for few-body physics. I will sketch commutation (anticommutation) relations on a finite memory bank, symmetrizing and antisymmetrizing operators, and unitary evolution under conventional two- and four-body Hamiltonian terms, as well as terms varying the particle number.
To codify n particles with N_p modes each one needs O(n log (N_p)) qubits. Such scaling seems more efficient than the Jordan-Wigner transformation (of O(N_p) qubits as long as n does not saturate N_p), whenever there are a modest number of particles with a large number of states available to each (and less advantageous for a large number of particles with few states available to each). And although less efficient, it is also less cumbersome than optimal compact encodings.
Organised by
Joachim Kopp
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