Emulation of quantum and quantum-inspired spectrum analysis and superposition with classical transconductor-capacitor circuits

The circuit of claim 1 wherein other multiplicative patterns of correlated probability amongst the inputs such as p1p2p3 or (1−p1)p2 in a High-High-High or Low-High-Neutral pattern respectively or any other combinatorial such combination of 3 inputs is estimated by altering the multiplicative design of only the transconductance portion of the claim 65 circuit.

A Quantum Cochlea circuit for spectral analysis of an input comprised of an abutting cascade of topologically identical emulated quantum two-state systems with transadmittance mixers, each configured with an exponentially decreasing taper in the difference between their high-energy and low-energy emulated-quantum-admittance transconductance values as one proceeds along the cochlear cascade, and with a sequential alternation in their orientation such that only compatibly similar high-energy admittances or only compatibly similar low-energy admittances abut each other when two cochlear stages join.

A classical circuit architecture for representing and storing a superposition of 2N quantum states as the 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 circuit architecture of claim 10 wherein the initial-condition probability amplitudes of the states of each emulated two-state quantum system with index k are transiently established with the use of emulated transadmittance mixer circuits and an emulated two-state system and configured with a control input resonant with the energy difference between the two states corresponding to k such that N+1 resonant control inputs can transiently couple all the two emulated quantum admittance circuits of claim 74 within a two-state system to establish or alter their initial conditions but then be subsequently turned off, thus enabling emulation of write capability that also scales with N+1 hardware resources.

A circuit architecture comprising 2(N+1) emulated quantum-admittance circuits attached to CHBAR capacitors indexed by k=0, 1, 2, . . . N with quantum admittance energies of −iE02k and +iE02k at each k and 2(N+1) associated emulated quantum transadmittance mixer circuits, said mixer circuits all receiving a classical signal Vin at one of their real or imaginary inputs, and mixing it with complex real-and-imaginary signals output by said emulated quantum admittances to create current outputs that are averaged on a capacitor for a fixed period of time to create 4(N+1) quadrature real and imaginary output signals, said output signals representing either spectral-analysis outputs of the input signal Vin or a means for using Vin to establish initial conditions on quantum or quantum-inspired state variables that encode information about Vin in these outputs.

The emulation of quantum or quantum-inspired systems with classical transconductor-capacitor circuits wherein the final measurement circuits do not destroy the information being read out.

The emulation of quantum or quantum-inspired systems with classical transconductor-capacitor circuits wherein the emulation is used to emulate a quantum system and a classical system simultaneously.

The emulation of quantum or quantum-inspired systems with classical transconductor-capacitor circuits wherein the emulation uses linear or nonlinear current-mode processing to implement any polynomially nonlinear input-output function that is necessary for emulation.