Abstract: Provided herein are methods for generating, from a quantum algorithm, a quantum circuit that is error robust. The methods determine a characteristic of a quantum hardware that is used to implement the quantum algorithm and informs the deterministic dynamic error suppression routine to be implemented. The methods also consider the compiled quantum circuit because that provides the information about the context of the operations performed on the qubits, which is an important factor in the fidelity of the quantum gates and ultimately the success of the algorithm. The methods then use the characteristic and the context to apply deterministic error correction.

Abstract: Provided herein are methods for generating, from a quantum algorithm, a quantum circuit that is error robust. The methods determine a characteristic of a quantum hardware that is used to implement the quantum algorithm and informs the deterministic dynamic error suppression routine to be implemented. The methods also consider the compiled quantum circuit because that provides the information about the context of the operations performed on the qubits, which is an important factor in the fidelity of the quantum gates and ultimately the success of the algorithm. The methods then use the characteristic and the context to apply deterministic error correction.

Abstract: This disclosure relates to a quantum circuit for quantum approximate optimisation over permutations of a set of elements. Encoding logic encodes each of the elements into multiple quantum registers as a binary number to represent a permutation of the set of elements by storing the binary number of each of the elements in an order according to the permutation. A network of multi-qubit quantum exponential swap operations operates between the multiple qubits of two registers and generates a superposition of two permutations by generating a superposition of two binary numbers by generating a superposition of the multiple qubits of the two quantum registers. An evaluation quantum circuit represents a problem Hamiltonian and distinguishes quantum states of the superposition generated by the network. The network and the evaluation quantum circuit amplify desirable quantum states and suppress undesirable quantum states to optimise over the permutations.