Quantum discord and the power of one qubit.
By Animesh Datta, Anil Shaji, Carlton M. Caves. Physical Review Letters, 2007
1,076 citations recorded by the source corpus.
We use quantum discord to characterize the correlations present in the model called deterministic quantum computation with one quantum bit (DQC1), introduced by Knill and Laflamme [Phys. Rev. Lett. 81, 5672 (1998)10.1103/PhysRevLett.81.5672]. The model involves a collection of qubits in the completely mixed state coupled to a single control qubit that has nonzero purity. The initial state, operations, and measurements in the model all point to a natural bipartite split between the control qubit and the mixed ones. Although there is no entanglement between these two parts, we show that the quantum discord across this split is nonzero for typical instances of the DQC1 ciruit. Nonzero values of discord indicate the presence of nonclassical correlations. We propose quantum discord as figure of merit for characterizing the resources present in this computational model.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/383e7670b4e577f2bae8697aafcea2726b8cbe48
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Citations in the corpus
- Quantum coherence and geometric quantum discord (2017, background): “For the above fashion of DQC1, several works have been undertaken to understand the origin of its superiority over the classical algorithm (Dakić et al., 2010; Datta et al., 2008; Datta and Gharibian, 2009).”
- The classical-quantum boundary for correlations: Discord and related measures (2011, background): “In a seminal paper, (Datta et al., 2008) discuss the role of discord in DQC1.”
- Contextuality supplies the ‘magic’ for quantum computation (2014, neutral): “This naturally raises the fundamental question: what unique resources of the quantum world enable the advantages of quantum information? There have been many attempts to answer this question, with proposals including the hypothetical “quantum parallelism” [3] some associate with quantum superpositio”
- Observing the operational significance of discord consumption (2012, background): “The potential presence of discord [5, 6] within such protocols motivated speculation that discord could prove a better quantifier of the ‘quantum resource’ that coherent interactions exploit to deliver a ‘quantum advantage’ [3, 13, 14].”