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Correlation Matrices of Two-Mode Bosonic Systems
Stefano Pirandola, Alessio Serafini, Seth Lloyd
We present a detailed analysis of all the algebraic conditions an arbitrary 4x4 symmetric matrix must satisfy in order to represent the correlation matrix of a two-mode bosonic sys…
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…
Characterization of Collective Gaussian Attacks and Security of Coherent-State Quantum Cryptography
Stefano Pirandola, Samuel L. Braunstein, Seth Lloyd
We provide a simple description of the most general collective Gaussian attack in continuous-variable quantum cryptography. In the scenario of such general attacks, we analyze the…
Sub-Rayleigh Quantum Imaging
Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone +1
No imaging apparatus can produce perfect images: spatial resolution is limited by the Rayleigh diffraction bound that is a consequence of the imager's finite spatial extent. We sho…