Quantum Annealing Machine based on Floating Gate Array

Abstract

Quantum annealing machines based on superconducting qubits, which have the potential to solve optimization problems faster than digital computers, are of great interest not only to researchers but also to the general public. Here, we propose a quantum annealing machine based on a semiconductor floating gate (FG) array. We use the same device structure as that of the commercial FG NAND flash memory except for small differences such as thinner tunneling barrier. We theoretically derive an Ising Hamiltonian from the FG system in its single-electron region. Recent high-density NAND flash memories are subject to several problems that originate from their small FG cells. In order to store information reliably, the number of electrons in each FG cell should be sufficiently large. However, the number of electrons stored in each FG cell becomes smaller and can be countable. So we utilize the countable electron region to operate single-electron effects of FG cells. Second, in the conventional NAND flash memory, the high density of FG cells induces the problem of cell-to-cell interference through their mutual capacitive couplings. This interference problem is usually solved by various methods using a software of error-correcting codes. We derive the Ising interaction from this natural capacitive coupling. Considering the size of the cell, 10 nm, the operation temperature is expected to be approximately that of a liquid nitrogen. If a commercial 64 Gbit NAND flash memory is used, ideally we expect it to be possible to construct 2 megabytes (MB) entangled qubits by using the conventional fabrication processes in the same factory as is used for manufacture of NAND flash memory. A qubit system of highest density will be obtained as a natural extension of the miniaturization of commonly used memories in this society.

13 pages, 17 figures

References in corpus (27)

• Quantum Mechanics helps in searching for a needle in a haystack
• Charge insensitive qubit design derived from the Cooper pair box
• Ising formulations of many NP problems
• Quantum state engineering with Josephson-junction devices
• Quantum Annealing in the Transverse Ising Model
• A Two Qubit Logic Gate in Silicon
• Quantum annealing with more than one hundred qubits
• Coherent manipulation of electronic states in a double quantum dot
• Quantum Annealing: A New Method for Minimizing Multidimensional Functions
• Demonstration of conditional gate operation using superconducting charge qubits
• Electrical control of a long-lived spin qubit in a Si/SiGe quantum dot
• Manipulation of a single charge in a double quantum dot
• Charge-qubit operation of an isolated double quantum dot
• Experimental signature of programmable quantum annealing
• A non-Markovian decoherence theory for double dot charge qubit
• Strong Coupling Cavity QED with Gate-Defined Double Quantum Dots Enabled by a High Impedance Resonator
• Entanglement in a quantum annealing processor
• Quantum gates by coupled asymmetric quantum dots and controlled-NOT-gate operation
• Adiabatic Transfer of Electrons in Coupled Quantum Dots
• Tunable coupling scheme for flux qubits at the optimal point
• Coherent Quantum Oscillations in a Silicon Charge Qubit
• Temperature scaling law for quantum annealing optimizers
• A decoherence-free subspace in a charge quadrupole qubit
• State-conditional coherent charge qubit oscillations in a Si/SiGe quadruple quantum dot
• Quantum annealing for the number partitioning problem using a tunable spin glass of ions
• One- and two-dimensional N-qubit systems in capacitively coupled quantum dots
• Numerical approach for retention characteristics of double floating-gate memories

Cited by in corpus (5)

• Application of single-electron effects to fingerprints of chips using image recognition algorithms
• Compact spin qubits using the common gate structure of fin field-effect transistors
• Quantum Annealing Machines Based on Semiconductor Nanostructures
• Readout using Resonant Tunneling in Silicon Spin Qubits
• Generation of all-to-all connections in a two-dimensional qubit array with two-body interactions