Abstract: The present application relates to compounds (e.g. Formulae III, V, VII, IX, and XII) having a negative singlet-triplet gap and a positive oscillator strength. The present application also relates to use of the compounds of the present application in photocatalysis and in OLEDs as emitters and/or dopants.

Abstract: A computer-implemented method and system for implementing a n-fold fermionic excitation generator using linear combination of directly differentiable operators on a quantum computer. Computer-readable data is generated and stored which when executed on the quantum computer, causes a quantum circuit of the quantum computer to execute repeatedly to perform a sequence of operations that implements the unitary (I) generated by a fermionic n-fold excitation operator G. The Gradient with respect to the angle ? of arbitrary expectation values involving the unitary operation can, in the general case, be evaluated by four expectation values obtained from replacing the corresponding unitary with fermionic shift operations (II). Fermionic shift operations can be constructed through the original unitary and unitary operations generated by the nullspace projector P0 of the fermionic excitation generator. Other operators and generators are disclosed.

Abstract: The present application relates to compounds of Formula I having a negative singlet-triplet gap and a positive oscillator strength. The present application also relates to use of the compounds of Formula (I) in photocatalysis and in OLEDs as emitters and/or dopants.

Abstract: Model-free error correction in quantum processors is provided, allowing tailoring to individual devices. In various embodiments, a quantum circuit is configured according to a plurality of configuration parameters. The quantum circuit comprises an encoding circuit and a decoding circuit. Each of a plurality of training states is input to the quantum circuit. The encoding circuit is applied to each of the plurality of training states and to a plurality of input syndrome qubits to produce encoded training states. The decoding circuit is applied to each of the encoded training states to determine a plurality of outputs. A fidelity of the quantum circuit is measured for the plurality of training states based on the plurality of outputs. The fidelity is provided to a computing node. The computing node determines a plurality of optimized configuration parameters. The optimized configuration parameters maximize the accuracy of the quantum circuit for the plurality of training states.

Abstract: A hybrid quantum-classical (HQC) computer which includes both a classical computer component and a quantum computer component performs generative learning on continuous data distributions. The HQC computer is capable of being implemented using existing and near-term quantum computer components having relatively low circuit depth.

Abstract: A system and method include techniques for: generating, by a quantum autoencoder, based on a set of quantum states encoded in a set of qubits, a decoder circuit that acts on a subset of the set of qubits, a size of the subset being less than a size of the set; and generating a reduced-cost circuit, the reduced-cost circuit comprising: (1) a new parameterized quantum circuit acting only on the subset of the set of qubits, and (2) the decoder circuit.

Abstract: The present invention relates generally to the design of quantum optical configurations and more specifically to using graph theory mapping and fidelity optimization to design optimal quantum optical configurations that have maximal fidelity between the designed optimal quantum optical configuration and the target quantum state. The target quantum state may include resource-efficient heralded multi-photonic quantum states, heralded high-dimensional entanglement, resource states for quantum gates, and high-dimensional multi-photonic GHZ states without ancilla photons.

Abstract: Preparation of correlated fermionic states on a quantum computer for determining a ground state of a correlated fermionic system is provided. In various embodiments, a quantum circuit is provided that comprises a linear chain of qubits and a plurality of matchgates arranged in layers. Each matchgate is configured to perform a two-qubit rotation on neighboring qubits within the linear chain. An initial state is provided for each qubit in the linear chain, The quantum circuit is applied to the initial values, thereby preparing an ansastz on the linear chain of qubits, the ansatz corresponding to a fermionic state.

Abstract: Molecular computer techniques for solving a computational problem using an array of reaction sites, for example, droplets, are disclosed. The problem may be represented as a Hamiltonian in terms of problem variables and problem parameters. The reaction sites may have a physicochemical property mapping to discrete site states corresponding to possible values of the problem variables. In a purely molecular approach, the reaction sites have intra-site and inter-site couplings enforced thereon representing the problem parameters, and the array is allowed to evolve, subjected to the enforced couplings, to a final configuration conveying a solution to the problem. In a hybrid classical-molecular approach, an iterative procedure may be performed that involves feeding read-out site states into a digital computer, determining, based on the problem parameters, perturbations to be applied to the states, and allowing the array to evolve under the perturbations to a final configuration conveying a solution to the problem.

Abstract: Solution of a problem of determining values of a set of N problem variables xi makes use of a quantum processor that has a limited number of hardware elements for representing quantum bits and/or limitations on coupling between quantum bits. A method includes accepting a specification of the problem that includes a specification of a set of terms where each term corresponds to a product of at least three variables and is associated with a non-zero coefficient. A set of ancilla variables, each ancilla variable corresponding to a pair of problem variables, is determined by applying an optimization procedure to the specification of the set of the terms. The accepted problem specification is then transformed according to the determined ancilla variables to form a modified problem specification for use in configuring the quantum processor and solution of problem.

Abstract: The invention provides an electro-chemical cell based on a new chemistry for a flow battery for large scale, e.g., gridscale, electrical energy storage. Electrical energy is stored chemically in quinone molecules having multiple oxidation states, e.g., three or more. During charging of the battery, the quinone molecules at one electrode are oxidized by emitting electrons and protons, and the quinone molecules at the other electrode are reduced by accepting electrons and protons. These reactions are reversed to deliver electrical energy. The invention also provides additional high and low potential quinones that are useful in rechargeable batteries.

Abstract: Generating a computing specification to be executed by a quantum processor includes: accepting a problem specification that corresponds to a second-quantized representation of a fermionic Hamiltonian, and transforming the fermionic Hamiltonian into a first qubit Hamiltonian including a first set of qubits that encode a fermionic state specified by occupancy of spin orbitals. An occupancy of any spin orbital is encoded in a number of qubits that is logarithmic in the number of spin orbitals, and a parity for a transition between any two spin orbitals is encoded in a number of qubits that is logarithmic in the number of spin orbitals. An eigenspectrum of a second qubit Hamiltonian, including the first set of qubits and a second set of qubit, includes a low-energy subspace and a high-energy subspace, and an eigenspectrum of the first qubit Hamiltonian is approximated by a set of low-energy eigenvalues of the low-energy subspace.

Abstract: Hybrid quantum-classical generative models for learning data distributions are provided. In various embodiments, methods of and computer program products for operating a Helmholtz machine are provided. In various embodiments, methods of and computer program products for operating a generative adversarial network are provided. In various embodiments, methods of and computer program products for variational autoencoding are provided.

Abstract: Preparation of correlated fermionic states on a quantum computer for determining a ground state of a correlated fermionic system is provided. In various embodiments, a quantum circuit is provided that comprises a linear chain of qubits and a plurality of matchgates arranged in layers. Each matchgate is configured to perform a two-qubit rotation on neighboring qubits within the linear chain. An initial state is provided for each qubit in the linear chain, The quantum circuit is applied to the initial values, thereby preparing an ansastz on the linear chain of qubits, the ansatz corresponding to a fermionic state.

Abstract: The invention provides an electrochemical cell based on a new chemistry for a flow battery for large scale, e.g., gridscale, electrical energy storage. Electrical energy is stored chemically in quinone molecules having multiple oxidation states, e.g., three or more. During charging of the battery, the quinone molecules at one electrode are oxidized by emitting electrons and protons, and the quinone molecules at the other electrode are reduced by accepting electrons and protons. These reactions are reversed to deliver electrical energy. The invention also provides additional high and low potential quinones that are useful in rechargeable batteries.

Abstract: Described herein are molecules for use in organic light emitting diodes comprising at least one moiety A, at least one moiety D, and at least one moiety B.

Abstract: Model-free error correction in quantum processors is provided, allowing tailoring to individual devices. In various embodiments, a quantum circuit is configured according to a plurality of configuration parameters. The quantum circuit comprises an encoding circuit and a decoding circuit. Each of a plurality of training states is input to the quantum circuit. The encoding circuit is applied to each of the plurality of training states and to a plurality of input syndrome qubits to produce encoded training states. The decoding circuit is applied to each of the encoded training states to determine a plurality of outputs. A fidelity of the quantum circuit is measured for the plurality of training states based on the plurality of outputs. The fidelity is provided to a computing node. The computing node determines a plurality of optimized configuration parameters. The optimized configuration parameters maximize the accuracy of the quantum circuit for the plurality of training states.

Abstract: A quantum circuit that functions a neuron and a method for configuring same. The quantum circuit comprises a Repeat-Until-Success (RUS) circuit that includes an input register, comprising at least one input qubit; an ancilla qubit; and an output qubit. The method for configuring the quantum neuron comprises: encoding an input quantum state in the at least one input qubit; and applying the first RUS circuit to the ancilla qubit and to the output qubit of the first RUS circuit, wherein the first RUS circuit is controlled by the input quantum state.

Abstract: An organic light-emitting device including a first electrode; a second electrode; and an organic layer disposed between the first electrode and the second electrode, wherein the organic layer comprises an emission layer, and wherein the organic layer comprises a first compound represented by Formula 1 and a second compound having the lowest excited triplet energy level greater than 2.73 electron volts: wherein in Formula 1, R11 to R33 are the same as described in the specification.

Abstract: Generating a computing specification to be executed by a quantum processor includes: accepting a problem specification that corresponds to a second-quantized representation of a fermionic Hamiltonian, and transforming the fermionic Hamiltonian into a first qubit Hamiltonian including a first set of qubits that encode a fermionic state specified by occupancy of spin orbitals. An occupancy of any spin orbital is encoded in a number of qubits that is logarithmic in the number of spin orbitals, and a parity for a transition between any two spin orbitals is encoded in a number of qubits that is logarithmic in the number of spin orbitals. An eigenspectrum of a second qubit Hamiltonian, including the first set of qubits and a second set of qubit, includes a low-energy subspace and a high-energy subspace, and an eigenspectrum of the first qubit Hamiltonian is approximated by a set of low-energy eigenvalues of the low-energy subspace.