Abstract
Arrays of trapped ultracold molecules represent a promising platform for implementing a universal quantum computer. DeMille [Phys. Rev. Lett. 88, 067901 (2002)] has detailed a prototype design based on Stark states of polar (1)Σ molecules as qubits. Herein, we consider an array of polar (2)Σ molecules which are, in addition, inherently paramagnetic and whose Hund's case (b) free-rotor pair-eigenstates are Bell states. We show that by subjecting the array to combinations of concurrent homogeneous and inhomogeneous electric and magnetic fields, the entanglement of the array's Stark and Zeeman states can be tuned and the qubit sites addressed. Two schemes for implementing an optically controlled CNOT gate are proposed and their feasibility discussed in the face of the broadening of spectral lines due to dipole-dipole coupling and the inhomogeneity of the electric and magnetic fields.
Highlights
Since its inception in 1982 by Feynman1 and follow-up work by others,2–4 the idea of a universal quantum computer has been pursued and amplified in many quarters
We describe the results of our quantitative study of Schemes I and II for CNOT gate implementation using a pair of NaO molecules
We have examined the eigenproperties of a pair of 2Σ molecules in the presence of superimposed electric and magnetic fields and proposed two schemes for the implementation of the controlled-NOT quantum gate
Summary
Since its inception in 1982 by Feynman and follow-up work by others, the idea of a universal quantum computer has been pursued and amplified in many quarters. Applying an inhomogeneous magnetic field disentangles these states and can be used to perform a Bell measurement This feature may be of consequence for superdense coding and quantum teleportation.. Our findings led us to propose two novel schemes for implementing an optically controlled CNOT gate operation. Of key importance is the ability to resolve the transition frequencies involved in the optical control of the gate operations — in the face of the broadening due to dipoledipole coupling and the inhomogeneity of the electric and magnetic fields. We show that the former dominates over the latter and sets the criteria for the feasibility of the schemes.
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