A measurement scheme for purity based on two two-body gates
Hiromichi Nakazato, Toru Tanaka, Kazuya Yuasa, Giuseppe Florio,, Saverio Pascazio
TL;DR
This paper introduces a practical scheme for measuring the purity of finite-level quantum systems using only two two-body gates and measurements on a reference system, avoiding full state tomography.
Contribution
The proposed method provides a simpler, gate-based approach to purity measurement that does not require state reconstruction or interferometry, enhancing experimental feasibility.
Findings
Efficient purity measurement with two square root of SWAP gates.
No need for full quantum state tomography.
Applicable to finite-level quantum systems.
Abstract
A scheme for measuring the purity of a quantum system with a finite number of levels is presented. The method makes use of two square root of SWAP gates and only hinges on measurements performed on a reference system, prepared in a certain pure state and coupled with the target system. Neither tomographic methods, with the complete reconstruction of the state, nor interferometric setups is needed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.