Explore a variety of Hamiltonian simulation techniques.
Preliminaries
Discover the most accessible and effective quantum algorithms for simulating the time evolution of quantum systems, ideal for those new to the field.
Block encoding
Unitary operators are the cornerstone of quantum computing, but what about non-unitary operations? Learn how block encoding enables you to represent and manipulate arbitrary matrices within quantum algorithms. They are the foundation for more advanced Hamiltonian simulation methods.
Qubitization
While Hamiltonians are inherently Hermitian, efficient quantum simulation requires unitary operators. Qubitization leverages block-encoding techniques to embed qubit Hamiltonians into unitaries, speeding up simulation on quantum computers.
Quantum singular value transformation
By applying polynomials to block encodings, the Quantum singular value transformation (QSVT) provides a unifying framework for numerous quantum algorithms. Its impact is particularly significant in Hamiltonian simulation, providing advanced and efficient techniques.
Preliminaries
Discover the most accessible and effective quantum algorithms for simulating the time evolution of quantum systems, ideal for those new to the field.
Block encoding
Unitary operators are the cornerstone of quantum computing, but what about non-unitary operations? Learn how block encoding enables you to represent and manipulate arbitrary matrices within quantum algorithms. They are the foundation for more advanced Hamiltonian simulation methods.
Qubitization
While Hamiltonians are inherently Hermitian, efficient quantum simulation requires unitary operators. Qubitization leverages block-encoding techniques to embed qubit Hamiltonians into unitaries, speeding up simulation on quantum computers.
Quantum singular value transformation
By applying polynomials to block encodings, the Quantum singular value transformation (QSVT) provides a unifying framework for numerous quantum algorithms. Its impact is particularly significant in Hamiltonian simulation, providing advanced and efficient techniques.
Preliminaries
Discover the most accessible and effective quantum algorithms for simulating the time evolution of quantum systems, ideal for those new to the field.
Block encoding
Unitary operators are the cornerstone of quantum computing, but what about non-unitary operations? Learn how block encoding enables you to represent and manipulate arbitrary matrices within quantum algorithms. They are the foundation for more advanced Hamiltonian simulation methods.
Qubitization
While Hamiltonians are inherently Hermitian, efficient quantum simulation requires unitary operators. Qubitization leverages block-encoding techniques to embed qubit Hamiltonians into unitaries, speeding up simulation on quantum computers.
Quantum singular value transformation
By applying polynomials to block encodings, the Quantum singular value transformation (QSVT) provides a unifying framework for numerous quantum algorithms. Its impact is particularly significant in Hamiltonian simulation, providing advanced and efficient techniques.