General Classification of Qubit Encodings in Ultracold Diatomic Molecules

General Classification of Qubit Encodings in Ultracold Diatomic Molecules
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超冷双原子分子中量子位编码的一般分类

DOI:
10.1021/acs.jpca.3c02835
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发表时间:
2023
期刊:
The Journal of Physical Chemistry A
影响因子:
--
通讯作者:
Tscherbul, Timur V.
Tscherbul, Timur V.
中科院分区:
--
文献类型:
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作者:
Asnaashari, Kasra;Krems, Roman V.;Tscherbul, Timur V.

文献摘要

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由于其丰富的内部结构和显着的长程相互作用,超冷分子作为量子信息的载体已被广泛探索。已经提出了几种将量子位编码为分子状态的不同方案,包括裸露的和现场修饰的。同时,分子丰富的内部结构为量子位编码留下了许多未探索的可能性。我们表明,所有分子量子位编码都可以根据量子位之间有效相互作用的类型分为四类。对于极性分子,四个类别由单分子基础上偶极矩算符的矩阵元素的相对大小决定。我们通过考虑将有效自旋 1/2 系统编码为具有相同核自旋投影的极性和非极性分子的不相邻旋转状态(例如,N = 0 和 2)来举例说明我们的分类方案。我们的分类方案旨在为量子信息存储和处理应用以及多体纠缠态的动态生成和量子退火提供分子量子位编码的最佳选择。
Owing to their rich internal structure and significant long-range interactions, ultracold molecules have been widely explored as carriers of quantum information. Several different schemes for encoding qubits into molecular states, both bare and field-dressed, have been proposed. At the same time, the rich internal structure of molecules leaves many unexplored possibilities for qubit encodings. We show that all molecular qubit encodings can be classified into four classes by the type of the effective interaction between the qubits. In the case of polar molecules, the four classes are determined by the relative magnitudes of matrix elements of the dipole moment operator in the single-molecule basis. We exemplify our classification scheme by considering the encoding of the effective spin-1/2 system into nonadjacent rotational states (e.g.,N= 0 and 2) of polar and nonpolar molecules with the same nuclear spin projection. Our classification scheme is designed to inform the optimal choice of molecular qubit encoding for quantum information storage and processing applications, as well as for dynamical generation of many-body entangled states and for quantum annealing.