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AssigneeTrustees of Dartmouth College
InventorRahul Sarpeshkar
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We disclose transconductor-capacitor classical dynamical systems that emulate quantum dynamical systems and quantum-inspired systems by composing them with 1) capacitors that represent ℏ termed Planck capacitors; 2) a ‘quantum admittance’ element, which can be emulated efficiently via coupled transconductors; 3) an emulated ‘quantum transadmittance element’ that can couple emulated quantum admittances to each other; and 4) an emulated ‘quantum transadmittance mixer element’ that can couple emulated quantum admittances to each other under the control of an input. We describe a ‘Quantum Cochlea’, a biologically-inspired quantum traveling-wave system with coupled emulated quantum two-state systems for efficient spectrum analysis that uses all of these parts. We show how emulated quantum transdmittance mixers can help represent an exponential number of quantum superposition states in the spectral domain with linear classical resources, even if they are not all simultaneously accessible as in actual quantum systems.
A classical circuit architecture for representing and storing a superposition of 2N quantum states as a spectrum of two real and imaginary output classical signals with said architecture needing circuit hardware resources proportional to N+1 comprising N emulated quantum two-state systems, indexed by k=0, 1, 2, 3, . . . N, with each said two-state system with two emulated quantum admittance circuits with quantum admittance values of +iE02k and −iE02k whose complex outputs are summed to architect a superposition of two states within each two-state system and then mixed, in a complex mixer, with analogous superposed signals from the corresponding two-state system with index k+1 such that the resulting mixed signal creates a new signal that represents a superposition of 2k+1 states at distinguishable frequency locations, which may then be used to re-initiate this process in a recursive fashion such that if the said recursive process is initiated at k=0 and terminated at k=N−1, the final output signals will represent a superposition of 2N quantum states.
The complex mixer used in the circuit architecture of claim implemented with a complex transadmittance mixer circuit in a voltage-in-voltage-out mode or with the output currents of the mixer converted to voltages via classical impedance circuit elements.
Dependencies are inferred from the claim text.