Loading patent…
AssigneeTrustees of Dartmouth College
InventorRahul SARPESHKAR
Estimating the term…
We disclose transconductor-capacitor classical dynamical systems that emulate quantum dynamical systems and quantum-inspired systems by composing them with 1) a real capacitor, whose value exactly emulates the value of the quantum constant h termed a Planck capacitor; 2) a ‘quantum admittance’ element, which has no classical equivalent, but which can be emulated by approximately 18 transistors of a coupled transconductor system; 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 quantum admittances to each other under the control of an input. These four parts can be composed together to create arbitrary discrete-state, traveling-wave, spectral, or other quantum systems.
The emulation of a quantum or quantum-inspired dynamical system with a classical circuit wherein a complex probability amplitude of any component of the vector state of the quantum wave function is represented by two voltages, VR and VI on two identical or nearly identical capacitors CR and CI respectively, corresponding to the real and imaginary parts of the complex probability amplitude of said component respectively, and wherein the value of the identical or nearly identical capacitance of CR and CI is given by an adjustable value CHBAR with CHBAR being directly proportional to the value of the universal quantum Planck constant, h, divided by a mathematical constant, 2π, and wherein current flows onto the CR and CI capacitors correspond to Hamiltonian energy flows in the quantum dynamical system corresponding to said component.
A classical circuit element used to emulate a quantum admittance in a quantum or quantum-inspired dynamical system with two input voltages VI and VR at its I and R terminals respectively that generates output currents of −GE0RVR at the I terminal and +GE0IVI at the R terminal respectively via two transconductors with their transconductances GE0R and GE0R both equal or nearly equal to a transconductance GE0 and both GE0R and GE0R having the same algebraic positive or negative sign respectively, and with GE0 being proportional to E0, a term in the energy Hamiltonian of the quantum dynamical system being emulated, which describes the dynamics of a component of a vector quantum state under the influence of just its own probability amplitude component that is represented by said real and imaginary voltages VR and VI respectively.
A classical circuit element used to emulate a quantum transadmittance in a quantum or quantum-inspired dynamical system with two input voltages VI1 and VR1 referenced to ground or another reference at its I1 and R1 terminals respectively that generates output currents of −GARVR1 at an another I2 terminal and +GA1VI1 at another R2 terminal respectively via two transconductors with their transconductances GAR and GAI both equal or nearly equal to a transconductance GA and both GAR and GAI having the same algebraic positive or negative sign respectively, and with GA being proportional to A, a term in the energy Hamiltonian of the quantum dynamical system being emulated, which describes the dynamics of a component of a vector quantum state represented by real and imaginary voltages VR2 and VI2 under the control of another probability amplitude component that is represented by real and imaginary voltages VR1 and VI1 respectively.
A classical circuit element used to emulate a quantum transadmittance mixer in a quantum or quantum-inspired dynamical system with four input voltages, VI1 and VR1 and VI2 and VR2 at its I1 and R1 and I2 and R2 terminals respectively, with the voltages referenced to a d.c. reference voltage or being differential voltages, that generates output currents proportional to −GA1(VR1VI2+VR2VI1) at an another I3 terminal and +GAR(VR1VR2−VI1VI2) at another R3 terminal respectively with GAR and GAI both equal or nearly equal to a transconductance GA and with GA being proportional to ε, a typically but not necessarily perturbative term in the energy Hamiltonian of the quantum dynamical system being emulated, which describes the dynamics of a component of a vector quantum state represented by real and imaginary voltages VR3 and VI3 under the control of the product of two probability amplitude components that are represented by real and imaginary voltages VR1 and VI1 and VR2 and VI2 respectively.
The emulation of quantum or quantum-inspired systems with classical transconductor-capacitor circuits wherein capacitors are mapped to inductors and transadmittances are mapped to mutual inductances to create a substantially equivalent circuit.
The emulation of quantum or quantum-inspired systems with classical transconductor-capacitor circuits wherein capacitors are mapped to inductors and transadmittances are mapped to mutual inductances to create a substantially equivalent circuit with a parallel-to-series or series-to-parallel transformation.
The implementation of any current-mode linear or nonlinear transconductor-capacitor circuits for emulating quantum or quantum-inspired deterministic or stochastic dynamical systems that directly correspond to or are used in any of the voltage-mode circuits, architectures, or systems that can be mapped to the current domain by converting an input current to a logarithmic input voltage, processing said voltage via current-input-current-output logarithmic-domain integrator and translinear current-mode circuits that are equivalent to the corresponding voltage-mode transconductor-capacitor equivalents, and then exponentiating a logarithmic voltage output to convert it to current.
The emulation of quantum or quantum-inspired systems with classical transconductor-capacitor circuits wherein analog circuit parameters or topologies are programmed with digital hardware that configures digital-to-analog converters that alter analog parameters or analog circuit topologies in the emulation.
The emulation of quantum or quantum-inspired systems with classical transconductor-capacitor circuits wherein power flows in Planck capacitors are measured to obtain information about probability currents or about quantum entanglement.
Dependencies are inferred from the claim text.