Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and Quantum Control

Entropy

Paul Watts¹  Maurice O𠆜onnor¹ 

[1] Department of Mathematical Physics, National University of Ireland Maynooth, Science Building, North Campus, Maynooth, Co. Kildare, Ireland; E-Mails:

关键词: two-qubit systems;    metric spaces;    Haar measure;   

DOI  :  10.3390/e15061963

来源: mdpi

【 摘 要 】

We derive expressions for the invariant length element and measure for the simple compact Lie groupof the total invariant volume of the space of two-qubit gates. This same metric is also used to determine the effective target sizes that selected gates will present in any quantum-control procedure designed to implement them.

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.