Abstract: Provided is a ferroelectric semiconductor device including a source and a drain having different polarities. The ferroelectric semiconductor may include a ferroelectric including zirconium oxide (ZrO2), hafnium oxide (HfO2), and/or hafnium-zirconium oxide (HfxZr1-xO, 0<x<1). The semiconductor device may have memory-like characteristics.

Abstract: Aspects of the present disclosure relate generally to systems and methods for use in the implementation and/or operation of quantum information processing (QIP) systems, and more particularly, to the use of computational symmetries for error mitigation in quantum computations in QIP systems.

Abstract: A semiconductor device including a substrate, an interfacial layer on the substrate, a ferroelectric layer on the interfacial layer, a gate on the ferroelectric layer, and the nitride protective layer between the interfacial layer and the gate and being adjacent to the ferroelectric layer.

Abstract: A system and method is provided for optimizing an input quantum circuit. An exemplary method includes searching a library of templates to find, by compiling abstract gate operations into a set of hardware-specific operations that manipulate qubit states, a template of quantum circuit gates that performs a predetermined function and that matches a set of quantum circuit gates in the input quantum circuit that performs the predetermined function; and replacing the set of quantum circuit gates in the input quantum circuit with the template of quantum circuit gates when the template of quantum circuit gates has a lower quantum cost than the set of quantum circuit gates based on estimated execution times. Moreover, the method is executed in a pipeline in combination with at least quantum circuit compilation.

Abstract: The disclosure describes various techniques to control of small angle Mølmer-Sørensen (MS) gates and to handle asymmetric errors. A technique is described for handling asymmetric errors in quantum information processing (QIP) systems. An exemplary method includes implementing a quantum circuit in the QIP system that has first and second qubit lines, with a first qubit state having a greater measurement error than a second qubit state; swapping the roles of the first and second qubit states at a quantum circuit level in response to at least one of the first qubit line and the second qubit line being expected to be at the first qubit state at a measurement; and enabling a quantum simulation using the quantum circuit with the first and second qubit states reassigned in at least one of the first qubit line and the second qubit line after the swapping of the respective roles.

Abstract: A method of determining a pattern in a sequence of bits using a quantum computing system includes setting a first register of a quantum processor in a superposition of a plurality of string index states, encoding a bit string in a second register of the quantum processor, encoding a bit pattern in a third register of the quantum processor, circularly shifting qubits of the second register conditioned on the first register, amplifying an amplitude of a state combined with the first register in which the circularly shifted qubits of the second register matches qubits of the third register, measuring an amplitude of the first register and determining a string index state of the plurality of string index states associated with the amplified state, and outputting, by use of a classical computer, a string index associated with the first register in the measured state.

Abstract: A method of performing a computational process using a quantum computer includes measuring a coupling strength of each trapped ion in an ion chain and each motional mode of the ion chain, wherein the trapped ions comprises first trapped ions that are addressable by laser beams, and second trapped ions that are not addressable by laser beams, computing a first map of the first trapped ions to the motional modes, wherein the motional mode comprises first motional modes that are allocated by the first map and second motional modes that are unallocated by the first map, measuring frequencies of the first motional modes, computing a second map of the first trapped ions to the second motional modes, measuring frequencies of the second motional modes, and outputting the measured frequencies of the motional modes, to be used for computing a pulse to be applied to the ion chain.

Abstract: A method of using an ion trap quantum computer includes performing a first measurement of bright-state population of each ion in an ion chain, the each ion coupled to one of motional modes of the ion chain, while varying laser coupling frequency, computing mode frequency of the one of the motional mode based on the measured bright-state population in the first measurement, performing a second measurement of bright-state population of each ion in the ion chain, and computing coupling strength of the each ion and the one of the motional mode by fitting the bright-state population of the each ion measured in the second measurement to a value of the bright-state population computed based on the computed mode frequency of the one of the motional modes and non-zero temperature effect of the motional modes.

Abstract: A method for performing at least a portion of a computational process includes computing a pulse function of a pulse to be applied to a first pair of trapped ions in a first ion chain based on a phase-space condition, wherein the phase-space condition is derived using equi-spaced synthetic frequencies in a frequency interval that includes a range set by a highest and a lowest motional mode frequency of the first ion chain, generating the pulse based on the computed pulse function, and applying the generated pulse to each of a second pair of trapped ions in a second ion chain to perform an entangling gate operation between the second pair of trapped ions in the second ion chain.

Abstract: A method of determining a pattern in a sequence of bits using a quantum computing system includes setting a first register of a quantum processor in a superposition of a plurality of string index states, encoding a bit string in a second register of the quantum processor, encoding a bit pattern in a third register of the quantum processor, circularly shifting qubits of the second register conditioned on the first register, amplifying an amplitude of a state combined with the first register in which the circularly shifted qubits of the second register matches qubits of the third register, measuring an amplitude of the first register and determining a string index state of the plurality of string index states associated with the amplified state, and outputting, by use of a classical computer, a string index associated with the first register in the measured state.

Abstract: The disclosure describes various aspects of techniques for optimal fault-tolerant implementations of controlled-Za gates and Heisenberg interactions. Improvements in the implementation of the controlled-Za gate can be made by using a clean ancilla and in-circuit measurement. Various examples are described that depend on whether the implementation is with or without measurement and feedforward. The implementation of the Heisenberg interaction can leverage the improved controlled-Za gate implementation. These implementations can cut down significantly the implementation costs associated with fault-tolerant quantum computing systems.

Abstract: A method of performing a quantum computation process includes computing first Fourier coefficients of a first pulse function of a first control pulse and second Fourier coefficients of a second pulse function of a second control pulse based on a condition for closure of phase space trajectories and a condition for stabilization of phase-space closure, and computing a first linear combination of the computed first Fourier coefficients and a second linear combination of the computed second Fourier coefficients based on a condition for non-zero degree of entanglement, a condition for stabilization of the degree of entanglement, and a condition for minimized power, applying the first control pulse having the computed first pulse function to a first trapped ion of a pair of trapped ions, and the second control pulse having the computed second pulse function to a second trapped ion of a pair of trapped ions.

Abstract: Technologies are described herein to implement an optimizer that receives portions of a quantum circuit; identifies, from within the received portions of the quantum circuit, a pattern of quantum gates to perform a quantum function; searches a library for a replacement pattern of quantum gates, which is also to perform the quantum function, for the identified pattern of quantum gates; determines that a quantum cost of the replacement pattern of quantum gates is lower than a quantum cost of the identified pattern of quantum gates; and replaces the identified pattern of quantum gates with the replacement pattern of quantum gates.

Abstract: A method of performing computation using an ion trap quantum computing system including a classical computer, a system controller, and a quantum processor includes computing, by the classical computer, a circuit that implements a selected set of gate operations, using one or more efficient arbitrary simultaneous entangling (EASE) gates, implementing, by the system controller, the computed circuit on the quantum processor, measuring, by the system controller, population of qubit states in the quantum processor, and outputting, by the classical computer, the measured population of qubit states in the quantum processor.

Abstract: A method of performing simultaneous entangling gate operations in a trapped-ion quantum computer includes selecting a gate duration value and a detuning frequency of pulses to be individually applied to a plurality of participating ions in a chain of trapped ions to simultaneously entangle a plurality of pairs of ions among the plurality of participating ions by one or more predetermined values of entanglement interaction, determining amplitudes of the pulses, based on the selected gate duration value, the selected detuning frequency, and the frequencies of the motional modes of the chain of trapped ions, generating the pulses having the determined amplitudes, and applying the generated pulses to the plurality of participating ions for the selected gate duration value. Each of the trapped ions in the chain has two frequency-separated states defining a qubit, and motional modes of the chain of trapped ions each have a distinct frequency.

Abstract: A method of performing a computation using a quantum computer includes generating a plurality of laser pulses used to be individually applied to each of a plurality of trapped ions that are aligned in a first direction, each of the trapped ions having two frequency-separated states defining a qubit, and applying the generated plurality of laser pulses to the plurality of trapped ions to perform simultaneous pair-wise entangling gate operations on the plurality of trapped ions. Generating the plurality of laser pulses includes adjusting an amplitude value and a detuning frequency value of each of the plurality of laser pulses based on values of pair-wise entanglement interaction in the plurality of trapped ions that is to be caused by the plurality of laser pulses.

Abstract: The disclosure describes various techniques to control of small angle Mølmer-Sørensen (MS) gates and to handle asymmetric errors. A technique is described that implements a two-qubit calibration circuit with two MS gates, where a parameter ? represents an amount of entanglement of the MS gate. The calibration circuit is run for several values of ? to measure observed parity signals that are direct measurements of the values of ?. Calibration information is generated that describes the relationship between ? and the parity signals, and such calibration information is then provided to arbitrarily calibrate one or more MS gates in a quantum simulation. Another technique is described for using the calibration information in quantum simulations, including for quantum chemistry simulations.

Abstract: Aspects of the present disclosure describe a method including predicting a first set of ansatz terms and a first plurality of amplitudes associated with the first set of ansatz terms; minimizing energy of the system based on the first set of ansatz terms and the first plurality of amplitudes; computing perturbative corrections using one or more ansatz wavefunctions; determining whether energy of the system converges; and predicting, in response to determining that the energy of the system does not converge, a second set of ansatz terms and a second plurality of amplitudes associated with the second set of ansatz terms.

Abstract: The disclosure describes various techniques to control of small angle Mølmer-Sørensen (MS) gates and to handle asymmetric errors. A technique is described that implements a two-qubit calibration circuit with two MS gates, where a parameter ? represents an amount of entanglement of the MS gate. The calibration circuit is run for several values of ? to measure observed parity signals that are direct measurements of the values of ?. Calibration information is generated that describes the relationship between ? and the parity signals, and such calibration information is then provided to arbitrarily calibrate one or more MS gates in a quantum simulation. Another technique is described for using the calibration information in quantum simulations, including for quantum chemistry simulations.

Abstract: A method of performing a computation using a quantum computer includes generating a first laser pulse and a second laser pulse to cause entanglement interaction between a first trapped ion and a second trapped ion of a plurality of trapped ions that are aligned in a first direction, each of the plurality of trapped ions having two frequency- separated states defining a qubit, and applying the generated first laser pulse to the first trapped ion and the generated second laser pulse to the second trapped ion. Generating the first laser pulse and the second laser pulse includes stabilizing the entanglement interaction between the first and second trapped ions against fluctuations in frequencies of collective motional modes of the plurality of trapped ions in a second direction that is perpendicular to the first direction.