Direct tomography of high-dimensional entangled states

Hongkuan Xia; Liang Xu; Lijian Zhang

doi:10.1117/12.2691751

6 November 2023 Direct tomography of high-dimensional entangled states

Hongkuan Xia, Liang Xu, Lijian Zhang

Proceedings Volume 12921, Third International Computing Imaging Conference (CITA 2023); 1292145 (2023) https://doi.org/10.1117/12.2691751
Event: Third International Computing Imaging Conference (CITA 2023), 2023, Sydney, Australia

Abstract

Weak measurement enables the direct measurement of the wavefunction by associating the weak values with the probability amplitudes, which is known as Direct Tomography (DT). Compared to standard quantum state tomography, DT requires far fewer measurement bases and avoids reconstruction algorithm, showing distinct advantages in the characterization of high-dimensional quantum states. Here, we propose a general parallel extension of the DT protocol for entangled systems involving multiple particles with the probability amplitudes corresponding to the joint weak values. By coupling each particle of the quantum system with the independent meter state, we obtain joint weak values of nonlocal observables through collective measurements on the post-selected meter states. Our rigorous derivation allows for large coupling strengths, which significantly reduces statistical errors. We experimentally demonstrate the feasibility of our protocol by performing DT of path-entangled photonic states in three dimensions, achieving fidelities between the results of DT and those of standard quantum state tomography of over 95%. Our results provide a powerful tool for tomography of entangled states and investigation of their nonlocal properties.

Citation Download Citation

Hongkuan Xia, Liang Xu, and Lijian Zhang "Direct tomography of high-dimensional entangled states", Proc. SPIE 12921, Third International Computing Imaging Conference (CITA 2023), 1292145 (6 November 2023); https://doi.org/10.1117/12.2691751

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
5 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Quantum systems

Quantum amplitude

Entangled states

Quantum probability

Quantum state tomography

Photons

Quantum entanglement

Show All Keywords

Keywords/Phrases

Search In:

Publication Years