Hardware-efficient neutral atom quantum computing method and device

A method for quantum computing using a plurality of neutral atoms in an array of optical traps, wherein a first internal state of the neutral atoms serves as qubit ground state |o>, and a second internal state serves as qubit excited state |1>, the method comprising:

• performing a local single-qubit gate operation on a qubit comprising:
• locally and selectively illuminating the qubit prepared in a superposition state |s> of qubit ground state |0> and qubit excited state |1> with a qubit addressing laser at a first qubit addressing laser frequency to cause a differential Stark shift for the qubit ground state |0> and the qubit excited state |1>;
• and
• performing a local two-qubit gate operation on a pair of qubits comprising:
• locally and selectively illuminating the pair of qubits prepared in the qubit ground state |0> with the qubit addressing laser at a second qubit addressing laser frequency for coupling the pair of qubits to a Rydberg state |r> of the neutral atoms, wherein:
• the array of optical traps comprises a trap frequency ω that is essentially the same for all qubits;
• and
• performing the local single qubit gate operation comprises illuminating the array of optical traps with a single qubit state transition laser pulse or with two consecutive qubit state transition laser pulses having an effective pulse duration that equals
• ω
• Ω
• =
• 2
• ⁢
• n
• +
• 1
• ,
• n
• ∈
• ℕ
• ,
• where Ω is a Rabi frequency associated with the qubit state transition laser and qubit ground state |0> to qubit excited state |1> transition.

A method for quantum computing using a plurality of neutral atoms in an array of optical traps, wherein a first internal state of the neutral atoms serves as qubit ground state |o>, and a second internal state serves as qubit excited state |1>, the method comprising:

• performing a local single-qubit gate operation on a qubit comprising:
• locally and selectively illuminating the qubit prepared in a superposition state |s> of qubit ground state |0> and qubit excited state |1> with a qubit addressing laser at a first qubit addressing laser frequency to cause a differential Stark shift for the qubit ground state |0> and the qubit excited state |1>;
• and
• performing a local two-qubit gate operation on a pair of qubits comprising:
• locally and selectively illuminating the pair of qubits prepared in the qubit ground state |0> with the qubit addressing laser at a second qubit addressing laser frequency for coupling the pair of qubits to a Rydberg state |r> of the neutral atoms, wherein:
• the neutral atoms comprise bosonic 88Sr atoms;
• the qubit addressing laser has a design wavelength of 689.4 nm, the Rydberg laser has a design wavelength of 318.5 nm, and the qubit state transition laser has a design wavelength of 698.4 nm;
• and/or
• the method further comprises:
• shifting the laser frequency of the qubit addressing laser to the first qubit addressing laser frequency;
• shifting the laser frequency of the qubit addressing laser to the second qubit addressing laser frequency;
• and
• shifting the laser frequency of the qubit addressing laser to a third qubit addressing laser frequency.