Quantum System and Method

A quantum computer apparatus comprising:

• a quantum system comprising two or more neutral atoms, the two or more neutral atoms comprising, wherein each atom of the two or more neutral atoms is configured to transition between atomic states comprising:
• a first hyperfine ground state of the atom, a second hyperfine ground state of the atom, a Rydberg state and at least one intermediate atomic state, wherein the quantum system further comprises an interaction between the Rydberg states of the two or more neutral atoms;
• a pulse generator configured to generate a pulse sequence and provide the generated pulse sequence to the two or more neutral atoms in accordance to transition the atoms between said atomic states, wherein the pulse sequence comprises at least one pulse comprising a property that takes into account at least part of the hyperfine structure of the at least one intermediate atomic state.

A method comprising:

• performing a calculation to determine a pulse sequence for a quantum system, wherein the determined pulse sequence is such that a desired quantum gate operation is obtained, wherein the quantum system comprises two or more neutral atoms, the two or more neutral atoms, wherein each atom of the two or more neutral atoms is configured to transition between atomic states comprising:
• a first hyperfine ground state of the atom, a second hyperfine ground state of the atom, a Rydberg state and at least one intermediate excited state, wherein the quantum system further comprises an interaction between the Rydberg states of the two or more neutral atoms, and wherein the calculation takes into account at least part of a hyperfine structure of the at least one intermediate state;
• storing pulse sequence data representative of the determined pulse sequence.