Creating cat states in one-dimensional quantum walks using delocalized initial states

Abstract

Cat states are coherent quantum superpositions of macroscopically distinct states and are useful for understanding the boundary between the classical and the quantum world. Due to their macroscopic nature, cat states are difficult to prepare in physical systems. We propose a method to create cat states in one-dimensional quantum walks using delocalized initial states of the walker. Since the quantum walks can be performed on any quantum system, our proposal enables a platform-independent realization of the cat states. We further show that the linear dispersion relation of the effective quantum walk Hamiltonian, which governs the dynamics of the delocalized states, is responsible for the formation of the cat states. We analyze the robustness of these states against environmental interactions and present methods to control and manipulate the cat states in the photonic implementation of quantum walks.

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Cited by in corpus (15)

• Experimental engineering of arbitrary qudit states with discrete-time quantum walks
• Experimental demonstration of quantum walks with initial superposition states
• Nonlocality, quantum correlations, and violations of classical realism in the dynamics of two noninteracting quantum walkers
• NOON state of Bose atoms in the double-well potential via an excited state quantum phase transition
• Asymptotic entanglement in quantum walks from delocalized initial states
• Topological quantum walks: theory and experiments
• Connecting velocity and entanglement in quantum walks
• Quantum walks with quantum chaotic coins: Of the Loschmidt echo, classical limit and thermalization
• Out-of-time-ordered correlators and quantum walks
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• Complementarity in quantum walks
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• Revisiting quantum walk advantages: A mean hitting time perspective
• Continuous-time quantum walks on a defective lattice: Boosting the spreading of delocalized states through Parrondo's strategy