Two Methods for Quantum Key Distribution Without Shared Reference Frame Under Unital Noise
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[Submitted on 22 Jun 2026]
Summary
This paper addresses a practical quantum key distribution (QKD) scenario over an unknown, stationary, unital qubit channel where a global shared reference frame cannot be established due to practical limitations like relative movement and rotation of communicating parties (common in satellite QKD). The authors propose two methods to overcome both physical qubit noise and the lack of shared reference frame: (1) constructing the Pauli transfer matrix (PTM) description of the channel without requiring a shared reference frame, and (2) a sequential basis matching (SBM) approach that sequentially identifies channel-optimized local bases. Both methods result in the same effective key exchange rate for QKD, and the optimized approach shows the optimality of BB84 and six-state QKD protocols under these conditions.
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Key quotes
Ā· 5 pulledWe consider a general and practical scenario of quantum key distribution (QKD) over an unknown, stationary, unital qubit channel.
This scenario can routinely appear in satellite QKD.
We propose two methods to overcome the physical qubit noise and the lack of shared reference frame.
In the optimized local bases, the resulting correlations are equivalent, up to outcome relabeling, to those of a Pauli channel, allowing us to show the optimality of the BB84 and six-state QKD protocols under these conditions.
We show that both of these approaches result in the same effective key exchange rate for QKD.
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