8 papers · 1 filter
Quantum-like states from classical systems
Gregory D. Scholes
This work studies how a suitably-designed classical system generates with a quantum-like (QL) state space mediated by a graph. The graph plays a special dual role by directing the…
Operational impact of quantum resources in chemical dynamics
Julia Liebert, Gregory D. Scholes
Quantum coherence and other non-classical features are widely discussed in chemical dynamics, yet it remains difficult to quantify when such resources are operationally relevant fo…
Dynamics in an emergent quantum-like state space generated by a nonlinear classical network
Gregory D. Scholes
This work exploits a framework whereby a graph (in the mathematical sense) serves to connect a classical system to a state space that we call `quantum-like' (QL). The QL states com…
Quantum information with quantum-like bits
Graziano Amati, Gregory D. Scholes
In previous work we have proposed a construction of quantum-like bits that could endow a large synchronizing classical system, for example of oscillators, with quantum-like functio…
Encoding quantum-like information in classical synchronizing dynamics
Graziano Amati, Gregory D. Scholes
In previous work, we introduced a formalism that maps classical networks of nonlinear oscillators onto a quantum-like Hilbert space. We demonstrated that specific network transform…
Quantum-like product states constructed from classical networks
Gregory D. Scholes, Graziano Amati
Can complex classical systems be designed to exhibit superpositions of tensor products of basis states, thereby mimicking quantum states? We exhibit a one-to one map between the pr…