## Abstract

We analyze the amount of classical communication required to reproduce the statistics of local projective measurements on a general pair of entangled qubits, |Ψ_{AB}〉 = √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 ^{2p}_{2}^{(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.

Original language | English |
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Article number | 1149 |

Number of pages | 16 |

Journal | Quantum |

Volume | 7 |

DOIs | |

Publication status | Published - 2023 |

## Austrian Fields of Science 2012

- 103025 Quantum mechanics