Abstract
Controllable quantum devices open novel directions to both quantum computation and quantum simulation. Recently, a problem known as boson sampling has been shown to provide a pathway for solving a computationally intractable problem without the need for a full quantum computer, instead using a linear optics quantum set-up. In this work, we propose a modification of boson sampling for the purpose of quantum simulation. In particular, we show that, by means of squeezed states of light coupled to a boson sampling optical network, one can generate molecular vibronic spectra, a problem for which no efficient classical algorithm is currently known. We provide a general framework for carrying out these simulations via unitary quantum optical transformations and supply specific molecular examples for future experimental realization. A quantum simulation scheme is proposed for molecular vibronic spectra, a problem for which no efficient classical algorithm is currently known. The simulation is efficiently performed on a boson sampling machine simply by modifying the input state.
Highlights
Quantum mechanics allows the storage and manipulation of information in ways that are not possible according to classical physics
We show that the quantum simulation, and the calculation of FC factors lying at the heart of linear spectroscopy, can be efficiently performed on a boson sampling machine by modifying the input state
Our work can be extend in various directions: For example, the quantum simulation that we propose can be generalized to vibronic profile at finite temperature [35, 42] by exploiting thermal coherent states [39] or one can consider the modification of boson sampling experiments to include non-Condon [42] and anharmonic effects [50]
Summary
Quantum mechanics allows the storage and manipulation of information in ways that are not possible according to classical physics. Significant is the exponential speed up achieved for the prime factorization of large numbers [3], a problem for which no efficient classical algorithm is currently known Another attractive area for quantum computers is quantum simulation [4,5,6,7,8,9] where it has recently been shown that the dynamics of chemical reactions [10] as well as molecular electronic structure [11] are attractive applications for quantum devices. The realization of a full-scale quantum computer is a very demanding technological challenge, even if it is not forbidden by fundamental physics This fact motivated the search for intermediate quantum hardware that could efficiently solve specific computational problems, believed to be intractable with classical machines, without being capable of universal quantum computation. While several groups have already realized small-scale versions of boson sampling [13,14,15,16], to challenge the ECT one
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