Quantum capacity

In the theory of quantum communication, the quantum capacity is the highest rate at which quantum information can be communicated over many independent uses of a noisy quantum channel from a sender to a receiver. It is also equal to the highest rate at which entanglement can be generated over the channel, and forward classical communication cannot improve it. The quantum capacity theorem is important for the theory of quantum error correction, and more broadly for the theory of quantum computation. The theorem giving a lower bound on the quantum capacity of any channel is colloquially known as the LSD theorem, after the authors Lloyd,[1] Shor,[2] and Devetak[3] who proved it with increasing standards of rigor.[4]

  1. ^ Seth Lloyd (1997). "Capacity of the noisy quantum channel". Physical Review A. 55 (3): 1613–1622. arXiv:quant-ph/9604015. Bibcode:1997PhRvA..55.1613L. doi:10.1103/PhysRevA.55.1613. S2CID 5555850.
  2. ^ Peter Shor (2002). "The quantum channel capacity and coherent information" (PDF). Lecture Notes, MSRI Workshop on Quantum Computation.
  3. ^ Igor Devetak (2005). "The private classical capacity and quantum capacity of a quantum channel". IEEE Transactions on Information Theory. 51: 44–55. arXiv:quant-ph/0304127. doi:10.1109/TIT.2004.839515. S2CID 12246393.
  4. ^ Wilde, Mark M. (2017). Quantum information theory (2nd ed.). Cambridge, UK. ISBN 978-1-316-80997-6. OCLC 972292559.{{cite book}}: CS1 maint: location missing publisher (link)