It is already known that quantum computers can be used to simulate materials and molecules. However, quantum computers are error-prone and exhibit intrinsic noise, which has so far made the real technical application of quantum computers impossible. Approaches are already known from the prior art which, despite the error susceptibility, allow meaningful simulations of quantum mechanical systems to be created, but the errors still exist. Building on this, the invention now makes it possible to reduce the errors and to include the errors as part of the simulation. In addition, the invention makes it possible to inhibit the effect of intrinsic noise. This further improves the technical applicability of quantum computers for simulating materials and molecules.

It is already known that quantum computers can be used to simulate materials and molecules. However, quantum computers are error-prone and exhibit intrinsic noise, which has so far made the real technical application of quantum computers impossible. Approaches are already known from the prior art which, despite the error susceptibility, allow meaningful simulations of quantum mechanical systems to be created, but the errors still exist. Building on this, the invention now makes it possible to reduce the errors and to include the errors as part of the simulation. In addition, the invention makes it possible to inhibit the effect of intrinsic noise. This further improves the technical applicability of quantum computers for simulating materials and molecules.

Data compression includes: inputting data comprising a vector that requires a first amount of memory; compressing the vector into a compressed representation while preserving information content of the vector, including: encoding, using one or more non-quantum processors, at least a portion of the vector to implement a quantum gate matrix; and modulating a reference vector using the quantum gate matrix to generate the compressed representation, wherein the compressed representation requires a second amount of memory that is less than the first amount of memory; and outputting the compressed representation to be displayed, stored, and/or further processed.

A method for validation and runtime estimation of a quantum algorithm includes receiving a quantum algorithm and simulating the quantum algorithm, the quantum algorithm forming a set of quantum gates. The method further includes analyzing a first set of parameters of the set of quantum gates and analyzing a second set of parameters of a set of qubits performing the set of quantum gates. The method further includes transforming, in response to determining at least one of the first set of parameters or the second set of parameters meets an acceptability criterion, the quantum algorithm into a second set of quantum gates.

A method for validation and runtime estimation of a quantum algorithm includes receiving a quantum algorithm and simulating the quantum algorithm, the quantum algorithm forming a set of quantum gates. The method further includes analyzing a first set of parameters of the set of quantum gates and analyzing a second set of parameters of a set of qubits performing the set of quantum gates. The method further includes transforming, in response to determining at least one of the first set of parameters or the second set of parameters meets an acceptability criterion, the quantum algorithm into a second set of quantum gates.

Extra edges are added to a group of edges for use in decoding syndrome measurements of a surface code implemented using hybrid acoustic-electric qubits. The extra edges include two-dimensional cross-edges and three-dimensional space-time correlated edges that identify correlated errors arising from spurious photon dissipation processes of a multiplexed control circuit that leads to cross-talk between storage modes of a set of the mechanical resonators controlled by the given multiplexed control circuit. Additionally, error probabilities used for edge weighting incorporate error probabilities due to the spurious photon dissipation processes.

Extra edges are added to a group of edges for use in decoding syndrome measurements of a surface code implemented using hybrid acoustic-electric qubits. The extra edges include two-dimensional cross-edges and three-dimensional space-time correlated edges that identify correlated errors arising from spurious photon dissipation processes of a multiplexed control circuit that leads to cross-talk between storage modes of a set of the mechanical resonators controlled by the given multiplexed control circuit. Additionally, error probabilities used for edge weighting incorporate error probabilities due to the spurious photon dissipation processes.

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.

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.

This application discloses a fault tolerant computation method and device for a quantum Clifford circuit with reduced resource requirement. The method includes decomposing a quantum Clifford circuit into s logic Clifford circuits and preparing auxiliary quantum states corresponding to the s logic Clifford circuits. For each logic Clifford circuit, the method further includes teleporting an input quantum state corresponding to the logic Clifford circuit to an auxiliary qubit, processing a quantum state obtained after the teleportation by the logic Clifford circuit to obtain a corresponding output quantum state; measuring a corresponding error symptom based on the input quantum state and the auxiliary quantum state; and performing error correction on the output quantum state according to the error symptom to obtain an error-corrected output quantum state.