Related Experiment Video
Updated: Aug 31, 2025
14:58
Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
Published on: June 3, 2015
14.9K
Demonstration of a two-bit controlled-NOT quantum-like gate using classical acoustic qubit-analogues
Keith Runge1, M Arif Hasan2, Joshua A Levine3
1Department of Materials Science and Engineering, The University of Arizona, Tucson, AZ, 85721, USA.
Scientific Reports
|August 18, 2022
Summary
This study demonstrates a classical acoustic analogue of the quantum Controlled-NOT (CNOT) gate using logical phi-bits. This novel approach uses nonlinear acoustic metamaterials to achieve predictable CNOT gate operations for quantum computing advancements.
Area of Science:
- Quantum Computing
- Acoustic Metamaterials
- Nonlinear Acoustics
Background:
- The Controlled-NOT (CNOT) gate is a fundamental component for universal quantum computation.
- Implementing quantum gates with classical analogues offers insights into quantum information processing.
- Acoustic metamaterials provide a platform for novel wave manipulation and analog computation.
Purpose of the Study:
- To demonstrate a quantum-like Controlled-NOT (CNOT) gate operation using classical acoustic analogues.
- To introduce and utilize 'logical phi-bits' based on nonlinear acoustic metamaterials.
- To explore a scalable approach for implementing quantum gate operations.
Main Methods:
- Utilized a nonlinear acoustic metamaterial comprising an array of three elastically coupled waveguides.
- Defined logical phi-bits with a two-state degree of freedom based on relative acoustic wave phases.
- Implemented the CNOT gate by detuning the frequency of an external driver to manipulate phi-bit states.
Main Results:
- Successfully demonstrated a systematic and predictable two-bit CNOT gate operation.
- Achieved unambiguously measurable input and output states for the acoustic CNOT gate.
- Showcased the manipulation of complex vectors in the Hilbert space of paired logical phi-bits.
Conclusions:
- The proposed acoustic analogue provides a viable classical method for implementing CNOT gates.
- This approach offers a promising pathway for scalable quantum-like computation using acoustic systems.
- The logical phi-bit system demonstrates potential for exploring quantum information processing principles.
Related Concept Videos
02:45The Quantum-Mechanical Model of an Atom
43.0K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
43.0K
02:32The de Broglie Wavelength
26.2K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
26.2K
01:28Standing Waves in a Cavity
1.0K
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
1.0K
01:30Oscillations In An LC Circuit
2.4K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.4K
01:17Second-Order Circuits
1.6K
Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
1.6K
01:17MOSFET Amplifiers
219
The MOSFET, when operating in its active region, functions as a voltage-controlled current source. In this region, the gate-to-source voltage controls the drain current. This principle underlies the operation of the transconductance MOSFET amplifier. The output current is directed through a load resistor to convert this amplifier into a voltage amplifier. The output voltage is then obtained by subtracting the voltage drop across the load resistance from the supply voltage. This process results...
219