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Quantum algorithm for solving linear systems of equations
Aram W. Harrow, Avinatan Hassidim, Seth Lloyd
Solving linear systems of equations is a common problem that arises both on its own and as a subroutine in more complex problems: given a matrix A and a vector b, find a vector x s…
Quantum Illumination with Gaussian States
Si-Hui Tan, Baris I. Erkmen, Vittorio Giovannetti +5
An optical transmitter irradiates a target region containing a bright thermal-noise bath in which a low-reflectivity object might be embedded. The light received from this region i…
Direct and Reverse Secret-Key Capacities of a Quantum Channel
Stefano Pirandola, Raul Garcia-Patron, Samuel L. Braunstein +1
We define the direct and reverse secret-key capacities of a memoryless quantum channel as the optimal rates that entanglement-based quantum key distribution protocols can reach by…
Computable bounds for the discrimination of Gaussian states
Stefano Pirandola, Seth Lloyd
By combining the Minkowski inequality and the quantum Chernoff bound, we derive easy-to-compute upper bounds for the error probability affecting the optimal discrimination of Gauss…
Architectures for a quantum random access memory
Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone
A random access memory, or RAM, is a device that, when interrogated, returns the content of a memory location in a memory array. A quantum RAM, or qRAM, allows one to access superp…
Security of two-way quantum cryptography against asymmetric Gaussian attacks
Stefano Pirandola, Stefano Mancini, Seth Lloyd +1
Recently, we have shown the advantages of two-way quantum communications in continuous variable quantum cryptography. Thanks to this new approach, two honest users can achieve a no…