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The minimal communication cost for simulating entangled qubits
- Autor(en)
- Martin J. Renner, Marco Túlio Quintino
- Abstrakt
We analyze the amount of classical communication required to reproduce the statistics of local projective measurements on a general pair of entangled qubits, |ΨAB〉 = √p |00〉 + √1 − p |11〉 (1/2 ≤ p ≤ 1). We construct a classical protocol that perfectly simulates local projective measurements on all entangled qubit pairs by communicating one classical trit. Additionally, when 2p2(1 p−−1 p) log (1−pp) + 2(1 − p) ≤ 1, approximately 0.835 ≤ p ≤ 1, we present a classical protocol that requires only a single bit of communication. The latter model even allows a perfect classical simulation with an average communication cost that approaches zero in the limit where the degree of entanglement approaches zero (p → 1). This proves that the communication cost for simulating weakly entangled qubit pairs is strictly smaller than for the maximally entangled one.
- Organisation(en)
- Quantenoptik, Quantennanophysik und Quanteninformation
- Externe Organisation(en)
- Österreichische Akademie der Wissenschaften (ÖAW), Icm & Sorbonne University
- Journal
- Quantum
- Band
- 7
- Anzahl der Seiten
- 16
- ISSN
- 2521-327X
- DOI
- https://doi.org/10.22331/q-2023-10-24-1149
- Publikationsdatum
- 2023
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103025 Quantenmechanik
- ASJC Scopus Sachgebiete
- Atomic and Molecular Physics, and Optics, Physics and Astronomy (miscellaneous)
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/760f5839-5df8-403e-83df-8740709b2f07