Work

Self-testing supersinglets with perfect quantum strategies

Year: 2025

Type: article

Abstract: Supersinglets are states of spin-zero of $d \ge 3$ particles of $d$ levels. They are invariant under unitary transformations of the form $U^{\otimes d}$ and have applications in metrology, error protection, and communication. They also violate some specific Bell inequalities. However, none any of these applications {\em require} supersinglets nor do any of these Bell inequality violations capture the unique properties of the supersinglets. This leads to two questions. Question 1 is whether there exists a task that can be solved only with supersinglets. Question 2 is whether supersinglets can produce a unique $d$-partite, $d$-dimensional nonlocal signature. We answer both questions affirmatively by presenting a protocol that self-test all supersinglets by producing $d$-partite, $d$-dimensional {\em perfect} quantum strategies for any $d \ge 3$.

Source: Physical Review A

DOI: 10.1103/3ymw-sn2z

Authors: Debashis Saha, Adán Cabello

Institutions: Indian Institute of Science Education and Research Thiruvananthapuram, Indian Institute of Technology Bhubaneswar, Universidad de Sevilla

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Ministry of Education, India, Agencia Estatal de Investigación

Award: G855684684