Can Quantum computers solve all problems?

Can Quantum computers solve all problems?

Quantum computers can solve NP-hard problems that classical computers are unable to solve. They also proved that P is a subset of BQP- that a quantum computer can solve all problems that a classical computer can solve. They also defined another class of problems called PH or “Polynomial Hierarchy”.

What problems did Quantum computers solve?

While some argue that the scope of the problems that can be resolved by the technology is limited, quantum annealing processors are easier to control and operate than their gate-based equivalents, which is why D-Wave’s technology has already reached much higher numbers of qubits than can be found in the devices built …

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Will quantum computers solve the traveling salesman problem?

A quantum computer can solve classes of problems that no classical computer can efficiently solve, and perhaps that will someday include the travelling salesman problem. When your brute force options are too expensive and an efficient algorithm eludes you, don’t give up on ever solving the problem altogether.

Why do quantum computers not work?

Even the slightest interaction with the environment causes a qubit to collapse into a discrete state of either 0 or 1. This is called decoherence. And even before they decohere, random noise caused by non-ideal circuit elements can corrupt the state of the qubits, leading to computing errors.

Are there any drawbacks or disadvantages to quantum computers?

Quantum error correction schemes do exist but consume such a large number of qubits (quantum bits) that relatively few qubits remain for actual computation. That reduces the size of the computing task to a tiny fraction of what could run on defect-free hardware.

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What is the disadvantage of quantum computers?

However, the disadvantages of quantum computing include breaking current encryption systems, which could leave doors open for data theft if organizations are not prepared to transition to cryptography to post-quantum algorithms. Without proper security, many of the promised benefits of quantum computing will fail.

What problems can be solved with a quantum computer?

Cryptographic problems that use factoring are excellent examples of problems that can be solved with a quantum computer because both the input and output are each a single number. Note that the numbers used in the key are huge, so a significant amount of qubits are needed to calculate the result.

What is the difference between quantum computers and conventional computers?

The reason for this is that while today’s conventional computers compute using binary digits (bits) in ONLY one of two states, either 0 or 1, quantum computers, in contrast, use quantum bits (qubits) that can exist in the states 0 or 1 or any superposition state between 0 and 1.

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What happens when a computer loses its quantum coherence?

This loss of coherence (called decoherence), caused by vibrations, temperature fluctuations, electromagnetic waves and other interactions with the outside environment, ultimately destroys the exotic quantum properties of the computer.

Will quantum computers revolutionize chemistry and materials science?

Many suspect that quantum computers will one day revolutionize chemistry and materials science; the likely ability of quantum computers to predict specific properties of molecules and materials fits this outcome nicely. However, a number of important questions remain.