Reconstructing high-dimensional two-photon entangled states via compressive sensing

Francesco Tonolini, Susan Chan, Megan Agnew, Alan Lindsay, Jonathan Leach

Research output: Contribution to journalArticle

21 Citations (Scopus)
29 Downloads (Pure)

Abstract

Accurately establishing the state of large-scale quantum systems is an important tool in quantum information science; however, the large number of unknown parameters hinders the rapid characterisation of such states, and reconstruction procedures can become prohibitively time-consuming. Compressive sensing, a procedure for solving inverse problems by incorporating prior knowledge about the form of the solution, provides an attractive alternative to the problem of high-dimensional quantum state characterisation. Using a modified version of compressive sensing that incorporates the principles of singular value thresholding, we reconstruct the density matrix of a high-dimensional two-photon entangled system. The dimension of each photon is equal to d = 17, corresponding to a system of 83521 unknown real parameters. Accurate reconstruction is achieved with approximately 2500 measurements, only 3% of the total number of unknown parameters in the state. The algorithm we develop is fast, computationally inexpensive, and applicable to a wide range of quantum states, thus demonstrating compressive sensing as an effective technique for measuring the state of large-scale quantum systems.
Original languageEnglish
Article number6542
JournalScientific Reports
Volume4
DOIs
Publication statusPublished - 13 Oct 2014

Fingerprint Dive into the research topics of 'Reconstructing high-dimensional two-photon entangled states via compressive sensing'. Together they form a unique fingerprint.

  • Cite this