外演算与费米子量子计算
Exterior calculus and fermionic quantum computation
摘要：
外演算及其三种运算满足、连接和霍奇星补，用于表示费米子-空穴系统和逻辑门的费米子类似物。提出了两种实现费米子量子计算的方案。第一个方案比较了费米子门和布尔门，并导致新的电子器件，模拟费米子门。第二个方案使用了一个众所周知的映射之间的费米子和多量子比特系统，模拟多量子比特系统中的费米子门。
英文摘要：
Exterior calculus with its three operations meet, join and hodge star complement, is used for the representation of fermion-hole systems and for fermionic analogues of logical gates. Two different schemes that implement fermionic quantum computation, are proposed. The first scheme compares fermionic gates with Boolean gates, and leads to novel electronic devices that simulate fermionic gates. The second scheme usesa well known map between fermionic and multi-qubit systems, to simulate fermionic gates within multi-qubit systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
