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arXiv · 2206.13040

Transforming Collections of Pauli Operators into Equivalent Collections of Pauli Operators over Minimal Registers

Lane G. Gunderman
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Abstract

Transformations which convert between Fermionic modes and qubit operations have become a ubiquitous tool in quantum algorithms for simulating systems. Similarly, collections of Pauli operators might be obtained from solutions of non-local games and satisfiability problems. Drawing on ideas from entanglement-assisted quantum error-correcting codes and quantum convolutional codes, we prove the obtainable lower-bound for the number of qubits needed to represent such Pauli operations which are equivalent and provide a procedure for determining such a set of minimal register Pauli operations.

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Lane G. Gunderman. 2022-06-27. Transforming Collections of Pauli Operators into Equivalent Collections of Pauli Operators over Minimal Registers. https://doi.org/10.1103/physreva.107.062416

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