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   https://doi.org/10.22331/q-2021-05-04-453  

   Leone, Lorenzo ; Oliviero, Salvatore F. ; Zhou, You ; Hamma, Alioscia ( May 2021 , Quantum)

   null (Ed.)

   It is well known that a quantum circuit on N qubits composed of Clifford gates with the addition of k non Clifford gates can be simulated on a classical computer by an algorithm scaling as poly ( N ) exp ⁡ ( k ) \cite{bravyi2016improved}. We show that, for a quantum circuit to simulate quantum chaotic behavior, it is both necessary and sufficient that k = Θ ( N ) . This result implies the impossibility of simulating quantum chaos on a classical computer. 

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2. Quantum repeaters: From quantum networks to the quantum internet

   https://doi.org/10.1103/RevModPhys.95.045006  

   Azuma, Koji ; Economou, Sophia E. ; Elkouss, David ; Hilaire, Paul ; Jiang, Liang ; Lo, Hoi-Kwong ; Tzitrin, Ilan ( December 2023 , Reviews of Modern Physics)

   A quantum internet is the holy grail of quantum information processing, enabling the deployment of a broad range of quantum technologies and protocols on a global scale. However, numerous challenges must be addressed before the quantum internet can become a reality. Perhaps the most crucial of these is the realization of a quantum repeater, an essential component in the long-distance transmission of quantum information. As the analog of a classical repeater, extender, or booster, the quantum repeater works to overcome loss and noise in the quantum channels constituting a quantum network. Here the conceptual frameworks and architectures for quantum repeaters, as well as the experimental progress toward their realization, are reviewed. Various near-term proposals to overcome the limits to the communication rates set by point-to-point quantum communication are also discussed. Finally, the manner in which quantum repeaters fit within the broader challenge of designing and implementing a quantum internet is overviewed. 

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3. Quantum Science and Quantum Technology

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4. Quantum Speedup by Quantum Annealing

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   Somma, Rolando D. ; Nagaj, Daniel ; Kieferová, Mária ( July 2012 , Physical Review Letters)
5. Quantum Monte Carlo tunneling from quantum chemistry to quantum annealing

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