Parity Quantum Optimization: Encoding Constraints

Parity Quantum Optimization: Encoding Constraints

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hbl5266ca Constraints make hard optimization problems even harder to solve on quantum devices because they are implemented with large energy penalties and additional qubit overhead.The parity mapping, which has been introduced as an alternative to the spin encoding, translates the problem to a representation using only parity variables that encodes products of spin variables.In combining exchange interaction and single spin flip terms in the parity beetroot birkenstock representation, constraints on sums and products of arbitrary $k$-body terms can be implemented without additional overhead in two-dimensional quantum systems.