TY - JOUR
T1 - Complete classification of steerability under local filters and its relation with measurement incompatibility
AU - Ku, Huan Yu
AU - Hsieh, Chung Yun
AU - Chen, Shin Liang
AU - Chen, Yueh Nan
AU - Budroni, Costantino
N1 - Funding Information:
The authors acknowledge fruitful discussions with Yi-Te Huang, Yeong-Cherng Liang, and Gelo Noel M Tabia. This work is supported partially by the National Science and Technology Council, Taiwan (Grants Nos. MOST 110-2811-M-006-546, MOST 111-2917-I-564-005, MOST 111-2112-M-005-007-MY4, and MOST 111-2123-M-006-001) and the Army Research Office (under Grant No. W911NF-19-1-0081). C.-Y.H. is supported by ICFOstepstone (the Marie Skłodowska-Curie Co-fund GA665884), the Spanish MINECO (Severo Ochoa SEV-2015-0522), the Government of Spain (FIS2020-TRANQI and Severo Ochoa CEX2019-000910-S), Fundació Cellex, Fundació Mir-Puig, Generalitat de Catalunya (SGR1381 and CERCA Program), the ERC AdG CERQUTE, and the AXA Chair in Quantum Information Science. C.B. is supported by the Austrian Science Fund through Projects No. ZK 3 (Zukunftskolleg) and No. F7113 (BeyondC).
Publisher Copyright:
© 2022, The Author(s).
PY - 2022/12
Y1 - 2022/12
N2 - Quantum steering is a central resource for one-sided device-independent quantum information. It is manipulated via one-way local operations and classical communication, such as local filtering on the trusted party. Here, we provide a necessary and sufficient condition for a steering assemblage to be transformable into another via local filtering. We characterize the equivalence classes with respect to filters in terms of the steering equivalent observables (SEO), first proposed to connect the problem of steerability and measurement incompatibility. We provide an efficient method to compute the extractable steerability that is maximal via local filters and show that it coincides with the incompatibility of the SEO. Moreover, we show that there always exists a bipartite state that provides an assemblage with steerability equal to the incompatibility of the measurements on the untrusted party. Finally, we investigate the optimal success probability and rates for transformation protocols (distillation and dilution) in the single-shot scenario together with examples.
AB - Quantum steering is a central resource for one-sided device-independent quantum information. It is manipulated via one-way local operations and classical communication, such as local filtering on the trusted party. Here, we provide a necessary and sufficient condition for a steering assemblage to be transformable into another via local filtering. We characterize the equivalence classes with respect to filters in terms of the steering equivalent observables (SEO), first proposed to connect the problem of steerability and measurement incompatibility. We provide an efficient method to compute the extractable steerability that is maximal via local filters and show that it coincides with the incompatibility of the SEO. Moreover, we show that there always exists a bipartite state that provides an assemblage with steerability equal to the incompatibility of the measurements on the untrusted party. Finally, we investigate the optimal success probability and rates for transformation protocols (distillation and dilution) in the single-shot scenario together with examples.
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U2 - 10.1038/s41467-022-32466-y
DO - 10.1038/s41467-022-32466-y
M3 - Article
C2 - 36008389
AN - SCOPUS:85136844247
SN - 2041-1723
VL - 13
JO - Nature communications
JF - Nature communications
IS - 1
M1 - 4973
ER -