8 results about "Unitary matrix" patented technology

The invention discloses a quantum state coding method of a polynomial function and a related device, and belongs to the technical field of quantum computing, and the method comprises the steps: determining the scale of a unitary matrix based on the highest order of the polynomial function, and constructing a target matrix based on a plurality of function values of the polynomial function; wherein the quantum logic gate corresponding to the unitary matrix is used for constructing a quantum circuit of a quantum state of a coding polynomial function, and the line number of the target matrix is the same as that of the unitary matrix; performing singular value decomposition on the target matrix to obtain a plurality of unitary matrixes; and determining a quantum logic gate corresponding to each unitary matrix, and acting each quantum logic gate on the corresponding quantum bit to obtain the quantum state of the polynomial function, thereby realizing coding from the classical data form to the quantum state of the polynomial function.

The invention discloses a load flow calculation method, system and device based on quantum singular value transformation and a medium, and belongs to the technical field of load flow calculation, and the method comprises the steps: obtaining the initial power parameter of each node of a power system and the given power of each node, and determining the power unbalance amount; constructing a node admittance matrix according to the initial power parameters, constructing a correction equation of Newton method load flow calculation, and converting the correction equation into a linear equation set for expression; coding the coefficient matrix into a unitary matrix by using block coding, and executing polynomial transformation based on quantum singular value transformation to construct a quantum circuit representing an inverse matrix of the unitary matrix; encoding the power unbalance amount into a quantum initial state, and enabling a quantum circuit to act on the quantum initial state and performing measurement; and determining the correction of the node voltage based on the measurement result, judging whether to iterate based on the convergence condition, and outputting a load flow calculation result. By utilizing the characteristics of quantum parallelism and quantum singular value transformation, the time consumption of large-scale power system load flow calculation is remarkably reduced.

The invention provides an ISAC complementary sequence generation method and device, and relates to the technical field of communication perception integration, and the method comprises the steps: presetting a sequence length parameter which is a positive integer not less than 2; generating a constant modulus sequence with the length based on the length parameter; the permutation of the preset set is obtained, an initial complementary sequence is generated based on the constant modulus sequence and the permutation, and the initial complementary sequence A is composed of N subsequences {a0, a1,..., aN-1} with the length being N; presetting a sequence set size parameter which is a positive integer not less than 2, and selecting a P-order unitary matrix O; and expanding the initial complementary sequence based on the unitary matrix to generate a complementary sequence set. According to the method, the self-fuzzy function of the complementary sequence is in a drawing pin type, and zero cross-fuzzy function values exist among different complementary sequences.

The invention discloses an amplitude preparation method of a quantum state and a related device, and belongs to the technical field of quantum computing, the method comprises the following steps: determining each partial component of a target quantum state to be prepared, each partial component comprising a ground state of the target quantum state and a probability amplitude of the ground state; a plurality of target matrixes are constructed based on the probability amplitudes of the partial components, singular value decomposition is carried out on the target matrixes to obtain unitary matrixes, and quantum logic gates corresponding to the unitary matrixes obtained through decomposition act together to evolve a target quantum state into 0gt; state; constructing inverse mapping of quantum logic gates corresponding to the unitary matrixes, and acting on the initial state 0gt; an amplitude preparation quantum circuit is obtained on the quantum bit of the state, and the amplitude preparation quantum circuit is used for generating the target quantum state. According to the scheme, the amplitude preparation quantum circuit is constructed based on the idea of deentanglement, and the amplitude preparation of the quantum state can be more efficiently carried out.

To provide, generally, data communication, and more specifically, techniques for increasing the wireless transmission efficiency using a layered construction of arbitrary unitary matrices.SOLUTION: A method includes: generating, via a first processor of a first compute device, symbols based on incoming data; and decomposing a unitary matrix of size NN by 1) applying a permutation to each symbol using a permutation matrix, to produce permuted symbols, and 2) transforming each symbol using at least one primitive transformation matrix of size MM, M being less than or equal to N, to produce transformed symbols. The method also includes sending a signal representing the transformed symbols to a plurality of transmitters for transmission of a signal representing the transformed symbols to a plurality of receivers. A signal representing the unitary matrix is sent to a second compute device for transmission of the unitary matrix to the receivers for recovery of the plurality of symbols at the plurality of receivers.SELECTED DRAWING: Figure 2

The invention relates to methods and systems for operating a quantum computing device to sample from an approximate stationary distribution of a Markov chain P having n states, through the construction and execution of a quantum circuit, said method comprising the step of: Initialize an ancilla qubit to the ∣0> state and at least one qubit register in its initial state; Prepare an unitary matrix U, which encodes a discriminant D in block form, allowing polynomial transformations of its singular values or eigenvalues; Apply successively a single qubit gate on the ancilla qubit and the ancilla controlled unitary matrix U on the qubit registers creating a reflection about an approximation of the stationary distribution of the Markov Chain P; and Prepare an approximation of the sought coherent quantum state associated with the stationary distribution, preferably using quantum amplitude amplification

This invention provides a quasi-probabilistic decomposition method and apparatus for quantum unitary matrices based on a diffusion model, primarily relating to the field of quantum computing technology. The method includes: responding to a received target quantum unitary matrix, encoding the target quantum unitary matrix based on decomposition constraints to obtain a joint condition vector; performing back-diffusion processing on the joint condition vector based on a conditional diffusion model to obtain a target tensor satisfying the decomposition constraints; decoding the target tensor to obtain multiple candidate sub-circuits; calculating a weighted sum matrix of the multiple candidate sub-circuits based on their respective real weights; and determining the multiple candidate sub-circuits and their corresponding weights as the decomposition result of the target quantum unitary matrix, provided that the fidelity between the weighted sum matrix of the multiple candidate sub-circuits and the target quantum unitary matrix meets a preset fidelity threshold.

The invention discloses a load flow calculation method, system and device based on quantum fast inversion and a medium, and belongs to the technical field of load flow calculation, and the method comprises the steps: obtaining the initial power parameters of each node of a power system and the given power of each node, calculating the power value of each node based on the node parameters, and combining with the given power to determine the power unbalance amount; constructing a node admittance matrix according to the initial power parameters, constructing a correction equation of Newton method load flow calculation, and converting the correction equation into a linear equation set for expression; coding the coefficient matrix into a unitary matrix by adopting block coding, and constructing a quantum circuit for representing an inverse matrix of the unitary matrix based on a quantum fast inversion method; encoding the power unbalance amount into a quantum initial state, and enabling a quantum circuit to act on the quantum initial state and performing measurement; and determining the correction of the node voltage based on the measurement result, judging whether to iterate based on the convergence condition, and outputting a load flow calculation result. According to the method, exponential acceleration of the quantum linear system is realized, and the solving efficiency is improved.