ts-quantum/dist/quantum/src/operators/sparse.d.ts

TypeScript library for quantum mechanics calculations and utilities

/**
 * Sparse matrix utilities for quantum operators
 */
import { Complex } from 'mathjs';
import { ISparseMatrix } from '../core/types';
/**
 * Create an empty sparse matrix
 */
export declare function createSparseMatrix(rows: number, cols: number): ISparseMatrix;
/**
 * Add entry to sparse matrix
 */
export declare function setSparseEntry(matrix: ISparseMatrix, row: number, col: number, value: Complex): void;
/**
 * Get entry from sparse matrix
 */
export declare function getSparseEntry(matrix: ISparseMatrix, row: number, col: number): Complex;
/**
 * Multiply sparse matrix by dense vector
 */
export declare function sparseVectorMultiply(matrix: ISparseMatrix, vector: Complex[]): Complex[];
/**
 * Multiply two sparse matrices
 */
export declare function sparseMatrixMultiply(a: ISparseMatrix, b: ISparseMatrix): ISparseMatrix;
/**
 * Convert sparse matrix to dense
 */
export declare function sparseToDense(matrix: ISparseMatrix): Complex[][];
/**
 * Convert dense matrix to sparse
 */
export declare function denseToSparse(dense: Complex[][]): ISparseMatrix;
/**
 * Transpose sparse matrix
 */
export declare function sparseTranspose(matrix: ISparseMatrix): ISparseMatrix;
/**
 * Conjugate transpose sparse matrix
 */
export declare function sparseConjugateTranspose(matrix: ISparseMatrix): ISparseMatrix;
/**
 * Calculate trace of sparse matrix
 */
export declare function sparseTrace(matrix: ISparseMatrix): Complex;
/**
 * Calculate Frobenius norm of sparse matrix
 */
export declare function sparseNorm(matrix: ISparseMatrix): number;
/**
 * Check if matrix is identity
 */
export declare function isIdentityMatrix(matrix: ISparseMatrix, tolerance?: number): boolean;
/**
 * Check if matrix is diagonal
 */
export declare function isSparseDiagonalMatrix(matrix: ISparseMatrix): boolean;
/**
 * Extract diagonal entries from sparse matrix
 */
export declare function extractDiagonalEntries(matrix: ISparseMatrix): Complex[];
/**
 * Validate sparse matrix structure
 */
export declare function validateSparseMatrix(matrix: ISparseMatrix): boolean;
/**
 * Remove entries that are effectively zero
 */
export declare function removeSparseZeros(matrix: ISparseMatrix, tolerance?: number): void;