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Publisher Summary This chapter reviews some recent progress in the nonlinear dynamics
of deep-water gravity waves. It attempts to highlight the major developments in theory and …

The evolution and interaction of nonlinear wavepackets on deep water is studied both
theoretically and experimentally. The nonlinear Schrödinger equation, first derived in this context …

Quantum variational algorithms are one of the most promising applications of near-term
quantum computers; however, recent studies have demonstrated that unless the variational …

Results of an experimental investigation of the evolution of a nonlinear wave train on deep
water are reported. The initial stage of evolution is found to be characterized by exponential …

A simple relationship between the Benjamin–Feir instability associated with uniform solutions
of the nonlinear Schrödinger equation and the long time evolution of the unstable solution …

Pseudorandom states, introduced by Ji, Liu and Song (Crypto’18), are efficiently-computable
quantum states that are computationally indistinguishable from Haar-random states. One-…

We have derived an equation governing the evolution of a random field of nonlinear, deep-water,
gravity waves by extending the approach used by Zakharov [1] for describing the …

The stability of a weakly nonlinear wave train on deep water to two- and three-dimensional
modulations is investigated using an improved approximation due to Zakharov (1968). The …

Pseudorandom quantum states (PRS) are efficiently constructible states that are computationally
indistinguishable from being Haar-random, and have recently found cryptographic …