Security of quantum key distribution using d-level systems.

By Nicolas J. Cerf, Mohamed Bourennane, A. Karlsson, Nicolas Gisin. Physical Review Letters, 2001

1,159 citations recorded by the source corpus.

We consider two quantum cryptographic schemes relying on encoding the key into qudits, i.e., quantum states in a d-dimensional Hilbert space. The first cryptosystem uses two mutually unbiased bases (thereby extending the BB84 scheme), while the second exploits all d+1 available such bases (extending the six-state protocol for qubits). We derive the information gained by a potential eavesdropper applying a cloning-based individual attack, along with an upper bound on the error rate that ensures unconditional security against coherent attacks.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/31c1ca0dd1900332b488e69c05747a72674a9676

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Citations in the corpus

Practical challenges in quantum key distribution (2016, neutral): “82 The choice for encoding is to use the arrival times of time-energy entangled photon pairs, 83 whose continuous nature permits encoding of extremely large alphabets.”
Secure quantum key distribution with realistic devices (2020, background): “By encoding the highdimensional key information into the orbital angular momentum, one can enhance the performance of QKD (Cerf et al., 2002; Gröblacher et al., 2006).”
Twisted photons: new quantum perspectives in high dimensions (2017, background): “with ququarts already up to nearly 19% or 22% errors can be tolerated (again, for two or three MUBs), respectively [25, 30, 32, 33].”
High-dimensional quantum cryptography with twisted light (2014, background): “Unlike intercept-resend attacks, the error rate for coherent attacks only depends on system dimension N and is independent of the number of MUBs, M [7].”
QBism, the Perimeter of Quantum Bayesianism (2010, background): “In another it is the raw irritability of a quantum system to being eavesdropped upon [36,80].”
Optimal quantum cloning of orbital angular momentum photon qubits through Hong–Ou–Mandel coalescence (2009, background): “Qudit-based quantum information protocols may also offer better theoretical performances than their qubit equivalent”
All-optical control of the quantum flow of a polariton condensate (2011, background): “These quanta of circulation lie in a multi-dimensional Hilbert space, so there is interest in the possibility of using them, for instance, as qudit”
The security of practical quantum key distribution (2008, background): “…1996) or whether she can keep the signals in a quantum memory until the end of the sifting and error correction phase (Bechmann-Pasquinucci and Gisin, 1999; Brassard et al., 2000; Bruß, 1998; Cerf et al., 2002; Fuchs et al., 1997; Herbauts et al., 2008; Lütkenhaus, 1999; Slutsky et al., 1998).”