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What is VQE used for?
The Variational-Quantum-Eigensolver (VQE) [1, 2] is a quantum/classical hybrid algorithm that can be used to find eigenvalues of a (often large) matrix H. When this algorithm is used in quantum simulations, H is typically the Hamiltonian of some system [3, 4, 5].
What is VQE quantum?
The Variational Quantum Eigensolver (VQE) is a flagship algorithm for quantum chemistry using near-term quantum computers [1]. It is an application of the Ritz variational principle, where a quantum computer is trained to prepare the ground state of a given molecule.
What is Qiskit Aqua?
Qiskit Aqua provides a library of quantum algorithms and components to build quantum applications and leverage near-term devices. A QuantumInstance holds the Qiskit backend as well as a number of compile and runtime parameters controlling circuit compilation and execution.
Why are Bell states maximally entangled?
The Bell states are four specific maximally entangled quantum states of two qubits. They are in a superposition of 0 and 1 – a linear combination of the two states. Their entanglement means the following: Thus, quantum theory violates the Bell inequality and the idea of local “hidden variables.”
What are the defining features that distinguish VQE from other algorithms?
If VQE is a specific algorithm, what are its defining features that distinguish it from other algorithms such as QAOA? I view QAOA as an algorithm for solving (approximately) a special class of problems, namely combinatorial problems and VQE as a possible subroutine to QAOA (but not necessarily as in the case of MaxCut). Let me explain
Which is an example of the use of VQE?
In the tutorial tutorial_vqe_bond_dissociation, we use VQE to explore the potential energy surface of molecules to simulate chemical reactions. Another interesting application is to probe the lowest-lying states of molecules in specific sectors of the Hilbert space. For example, see the tutorial tutorial_vqe_spin_sectors.
When to use variational quantum Eigensolver ( VQE )?
The Variational-Quantum-Eigensolver (VQE) [1, 2] is a quantum/classical hybrid algorithm that can be used to find eigenvalues of a (often large) matrix (H).
Which is the object for holding optimization results from VQE?
Object for holding optimization results from VQE. VQE is an object that encapsulates the VQE algorithm (functional minimization).