How does quantum computing work in simple terms?

How does quantum computing work in simple terms?

Quantum computers perform calculations based on the probability of an object’s state before it is measured – instead of just 1s or 0s – which means they have the potential to process exponentially more data compared to classical computers. A single state – such as on or off, up or down, 1 or 0 – is called a bit.

What is adiabatic quantum optimization?

Adiabatic quantum computing (AQC) started as an approach to solving optimization problems, and has evolved into an important universal alternative to the standard circuit model of quantum computing, with deep connections to both classical and quantum complexity theory and condensed matter physics.

What is the meaning of adiabatic quantum computer?

Adiabatic quantum computation (AQC) is a form of quantum computing which relies on the adiabatic theorem to do calculations and is closely related to quantum annealing.

How does quantum computing circuit work?

Since quantum computations are reversible, at each ‘step’ the number of lines must be the same number of input lines. Also, each input combination must be mapped to a single combination at each ‘step’. This means that each intermediate combination in a quantum circuit is a bijective function of the input.

How is quantum computing different from regular computing?

What is a quantum computer and how does it differ from classical computers? It’s not using zeros and ones like classical computers are – bits and bytes – but it is actually able to work with something called qubits. ‘Qubits are quantum bits, and have the special property that at the same time they can be zero and one.

What is adiabatic evolution?

The notion of adiabatic evolution or adiabatic process is an important theoretical concept, which occurs at several places in Physics. The main feature of this concept is that although the process is very slow, global changes can take place without local changes.

Is adiabatic quantum computing universal?

It is well known that the solution of computational problems can be encoded into the ground state of a time-dependent quantum Hamiltonian. This approach is known as adiabatic quantum computation (AQC), and is universal for quantum computing (for a review of AQC see arXiv:1611.04471).

Why is quantum computing reversible?

Reversible computing is a form of unconventional computing. Due to the unitarity of quantum mechanics, quantum circuits are reversible, as long as they do not “collapse” the quantum states they operate on.

What does the quantum Fourier transform do?

The quantum Fourier transform (QFT) transforms between two bases, the computational (Z) basis, and the Fourier basis. In the same way, all multi-qubit states in the computational basis have corresponding states in the Fourier basis. The QFT is simply the function that transforms between these bases.

What is quantum circuit learning?

Quantum Circuit Learning (QCL) is an algorithm for applying quantum computers to machine learning [1].

What is the adiabatic theorem in quantum mechanics?

The adiabatic theorem in quantum mechanics holds that a system with a time-changing Hamilto- nian will remain in the same energy level over time as long as the evolution time is slow enough. Typically, we speak of the system remaining in the ground state.

How are quantum circuits used in quantum computing?

Quantum computations can be implemented not only by the action of quantum circuits, but by the adiabatic evolution of a system’s Hamiltonian. This can be done by initializing the system into the ground state of a simple Hamiltonian, and then adiabatically evolving the Hamiltonian to one whose ground state encodes the solution to the problem.

Is it possible to simulate Hamiltonian dynamics on nqubits?

A Hamiltonian Hacting on nqubits can be efficiently simulatedif for any error ε>0 and time t>0 there is a quantum circuit Uconsisting of poly(n, t, 1/ε) gates such that ‖U– e–iHt ‖<ε. Simulating Hamiltonian dynamics Definition. A Hamiltonian Hacting on nqubits can be