### Abstract

We investigate several aspects of realizing quantum computation using entangled polar molecules in pendular states. Quantum algorithms typically start from a product state (Formula presented.) and we show that up to a negligible error, the ground states of polar molecule arrays can be considered as the unentangled qubit basis state (Formula presented.). This state can be prepared by simply allowing the system to reach thermal equilibrium at low temperature (<1 mK). We also evaluate entanglement, characterized by concurrence of pendular state qubits in dipole arrays as governed by the external electric field, dipole–dipole coupling and number N of molecules in the array. In the parameter regime that we consider for quantum computing, we find that qubit entanglement is modest, typically no greater than 10^{−4}, confirming the negligible entanglement in the ground state. We discuss methods for realizing quantum computation in the gate model, measurement-based model, instantaneous quantum polynomial time circuits and the adiabatic model using polar molecules in pendular states.

Original language | English |
---|---|

Pages (from-to) | 3714-3722 |

Number of pages | 9 |

Journal | ChemPhysChem |

Volume | 17 |

Issue number | 22 |

DOIs | |

Publication status | Published - 18 Nov 2016 |

Externally published | Yes |

### Fingerprint

### Keywords

- entanglement
- pendular states
- polar molecules
- quantum computing
- superposition

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Physical and Theoretical Chemistry

### Cite this

*ChemPhysChem*,

*17*(22), 3714-3722. https://doi.org/10.1002/cphc.201600781

**Quantum Computation using Arrays of N Polar Molecules in Pendular States.** / Wei, Qi; Cao, Yudong; Kais, Sabre; Friedrich, Bretislav; Herschbach, Dudley.

Research output: Contribution to journal › Article

*ChemPhysChem*, vol. 17, no. 22, pp. 3714-3722. https://doi.org/10.1002/cphc.201600781

}

TY - JOUR

T1 - Quantum Computation using Arrays of N Polar Molecules in Pendular States

AU - Wei, Qi

AU - Cao, Yudong

AU - Kais, Sabre

AU - Friedrich, Bretislav

AU - Herschbach, Dudley

PY - 2016/11/18

Y1 - 2016/11/18

N2 - We investigate several aspects of realizing quantum computation using entangled polar molecules in pendular states. Quantum algorithms typically start from a product state (Formula presented.) and we show that up to a negligible error, the ground states of polar molecule arrays can be considered as the unentangled qubit basis state (Formula presented.). This state can be prepared by simply allowing the system to reach thermal equilibrium at low temperature (<1 mK). We also evaluate entanglement, characterized by concurrence of pendular state qubits in dipole arrays as governed by the external electric field, dipole–dipole coupling and number N of molecules in the array. In the parameter regime that we consider for quantum computing, we find that qubit entanglement is modest, typically no greater than 10−4, confirming the negligible entanglement in the ground state. We discuss methods for realizing quantum computation in the gate model, measurement-based model, instantaneous quantum polynomial time circuits and the adiabatic model using polar molecules in pendular states.

AB - We investigate several aspects of realizing quantum computation using entangled polar molecules in pendular states. Quantum algorithms typically start from a product state (Formula presented.) and we show that up to a negligible error, the ground states of polar molecule arrays can be considered as the unentangled qubit basis state (Formula presented.). This state can be prepared by simply allowing the system to reach thermal equilibrium at low temperature (<1 mK). We also evaluate entanglement, characterized by concurrence of pendular state qubits in dipole arrays as governed by the external electric field, dipole–dipole coupling and number N of molecules in the array. In the parameter regime that we consider for quantum computing, we find that qubit entanglement is modest, typically no greater than 10−4, confirming the negligible entanglement in the ground state. We discuss methods for realizing quantum computation in the gate model, measurement-based model, instantaneous quantum polynomial time circuits and the adiabatic model using polar molecules in pendular states.

KW - entanglement

KW - pendular states

KW - polar molecules

KW - quantum computing

KW - superposition

UR - http://www.scopus.com/inward/record.url?scp=84991768940&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84991768940&partnerID=8YFLogxK

U2 - 10.1002/cphc.201600781

DO - 10.1002/cphc.201600781

M3 - Article

VL - 17

SP - 3714

EP - 3722

JO - ChemPhysChem

JF - ChemPhysChem

SN - 1439-4235

IS - 22

ER -