Experimental investigation of partially entangled states for device-independent randomness generation and self-testing protocols

2019 ◽  
Vol 99 (3) ◽  
Author(s):  
S. Gómez ◽  
A. Mattar ◽  
I. Machuca ◽  
E. S. Gómez ◽  
D. Cavalcanti ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Entangled States ◽  
Self Testing ◽  
Partially Entangled States ◽  
Testing Protocols

scholarly journals Device-independent certification of tensor products of quantum states using single-copy self-testing protocols

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 418
Author(s):  
Ivan Šupić ◽  
Daniel Cavalcanti ◽  
Joseph Bowles
Keyword(s):  
Tensor Product ◽  
Single Copy ◽  
Quantum States ◽  
High Dimensional ◽  
Entangled States ◽  
Testing Protocol ◽  
Self Testing ◽  
Rank One ◽  
Number Of Parties ◽  
Testing Protocols

Self-testing protocols are methods to determine the presence of shared entangled states in a device independent scenario, where no assumptions on the measurements involved in the protocol are made. A particular type of self-testing protocol, called parallel self-testing, can certify the presence of copies of a state, however such protocols typically suffer from the problem of requiring a number of measurements that increases with respect to the number of copies one aims to certify. Here we propose a procedure to transform single-copy self-testing protocols into a procedure that certifies the tensor product of an arbitrary number of (not necessarily equal) quantum states, without increasing the number of parties or measurement choices. Moreover, we prove that self-testing protocols that certify a state and rank-one measurements can always be parallelized to certify many copies of the state. Our results suggest a method to achieve device-independent unbounded randomness expansion with high-dimensional quantum states.

scholarly journals Quantum cryptography using partially entangled states

2010 ◽  
Vol 283 (1) ◽  
pp. 184-188 ◽  
Author(s):  
Goren Gordon ◽  
Gustavo Rigolin
Keyword(s):  
Quantum Cryptography ◽  
Entangled States ◽  
Partially Entangled States

scholarly journals Experimentally Robust Self-testing for Bipartite and Tripartite Entangled States

2018 ◽  
Vol 121 (24) ◽  
Author(s):  
Wen-Hao Zhang ◽  
Geng Chen ◽  
Xing-Xiang Peng ◽  
Xiang-Jun Ye ◽  
Peng Yin ◽  
...  
Keyword(s):  
Entangled States ◽  
Self Testing

scholarly journals Experimental demonstration of robust self-testing for bipartite entangled states

2019 ◽  
Vol 5 (1) ◽  
Author(s):  
Wen-Hao Zhang ◽  
Geng Chen ◽  
Peng Yin ◽  
Xing-Xiang Peng ◽  
Xiao-Min Hu ◽  
...  
Keyword(s):  
Entangled States ◽  
Experimental Demonstration ◽  
Self Testing

Splitting Unknown Qutrit or Ququart States via Two-Qubit Partially Entangled States Channel

2013 ◽  
Vol 59 (2) ◽  
pp. 157-164 ◽  
Author(s):  
Zhang Wen ◽  
Xiong Kuang-Wei ◽  
Zuo Xue-Qin ◽  
Zhang Zi-Yun
Keyword(s):  
Entangled States ◽  
Partially Entangled States

REMOTE GENERALIZED MEASUREMENTS USING PARTIALLY ENTANGLED STATES

2006 ◽  
Vol 04 (01) ◽  
pp. 181-187 ◽  
Author(s):  
B. REZNIK
Keyword(s):  
Entangled States ◽  
Generalized Measurement ◽  
Maximally Entangled States ◽  
Partially Entangled States ◽  
Projective Measurements

We propose a method for implementing remotely a generalized measurement (POVM). We show that remote generalized measurements consume less entanglement compared with remote projective measurements, and can be optimally performed using non-maximally entangled states. We derive the entanglement cost of such measurements.

GENERALIZED THREE-PARTY QUBIT OPERATION SHARING

2013 ◽  
Vol 11 (01) ◽  
pp. 1350011 ◽  
Author(s):  
DAOCHU LIU ◽  
YIMIN LIU ◽  
XIAOFENG YIN ◽  
XIANSONG LIU ◽  
ZHANJUN ZHANG
Keyword(s):  
Entangled States ◽  
Quantum Channels ◽  
Partially Entangled States ◽  
Qubit Operation

Two three-party schemes of qubit operation sharing proposed by Zhang and Cheung [J. Phys. B44 (2011) 165508] are generalized by utilizing partially entangled states as quantum channels instead of maximally entangled ones. Their quantum and classical resource consumptions, necessary-operation complexities, success probabilities and efficiencies are calculated and compared with each other. Moreover, it is revealed that the success probabilities are completely determined by the shared entanglement.

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