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World desk4 min

Quantum Computing vs. Classical Computing: What Each Can and Cannot Do

Classical computers remain general-purpose workhorses; quantum computers may help with selected algorithms and simulations, but noise and measurement limits constrain what they can do.

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Classical computers remain the practical choice for general-purpose computing. Quantum computers process information differently and may offer advantages for selected tasks—especially simulating quantum systems and running certain algorithms—but today’s systems are noisy and specialized. They are best understood as potential complements to classical computers, not replacements.

What is the difference between quantum and classical computing?

A classical computer represents information with bits, ordinarily read as 0 or 1. A quantum computer uses qubits. Qubits can occupy superpositions of states and can be entangled, meaning their states can be linked in ways that have no direct classical counterpart. These properties give quantum algorithms different ways to process information; they do not make every possible answer available to read at once.

Measurement returns limited information from a quantum state. A useful quantum algorithm must arrange its computation so that interference makes the desired result or property more likely to appear when measured. NIST explains both the potential of superposition and entanglement and the limits on reading a quantum state in its Quantum Computing Explained.

What can a quantum computer do that a classical computer cannot?

The strongest case for quantum computing is not that it improves every task, but that particular problems may fit its information model especially well. Two prominent examples are simulating quantum systems and running algorithms with specific theoretical advantages.

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Simulate molecules and materials

Molecules and materials obey quantum physics. A quantum computer may be able to represent and simulate aspects of these systems more naturally than a classical computer, which must approximate their behavior using classical resources. This is a motivating research direction, not a guarantee that current quantum machines can already solve useful chemistry or materials problems better in practice. The U.S. Department of Energy’s December 2024 Quantum Information Science roadmap describes the broader research effort needed across hardware, architecture, algorithms, software, and applications.

Run selected algorithms

Shor’s algorithm is a theoretical quantum method for factoring large integers efficiently. Factoring at a scale relevant to widely used public-key cryptography would require a sufficiently large, fault-tolerant quantum computer; current devices are not capable of that. Other quantum algorithms may offer advantages for particular tasks, but an advantage for one carefully defined problem does not establish a general speed advantage.

Explore optimization—with evidence

Optimization is an active area of quantum-computing research, but broad practical superiority over classical optimization methods has not been established. For any claimed advantage, the relevant questions are what exact problem was solved, what output was required, what classical method it was compared against, and whether the result is useful outside the demonstration.

Are quantum computers faster than regular computers?

Not in general. There is no single fair speed comparison that covers all workloads. Classical computers are mature and effective for ordinary digital tasks, while quantum computers may help with specific algorithms or simulations. A claim that a quantum computer is “faster” only has meaning when it names the task and the comparison method.

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Quantum computing is also not simply brute-force search conducted in parallel. A quantum state can encode a superposition, but measurement does not reveal every encoded possibility. As NIST’s Stephen Jordan, identified by the institute as a Google quantum computing researcher and former NIST staff member, puts it: “But contrary to popular belief, this doesn’t allow quantum computers to do an efficient ‘brute force’ search over all the potential solutions.” The algorithm has to use interference to make useful information accessible.

On July 30, 2026, IBM and the University of Chicago said their reported computation met “the fundamental criteria for quantum advantage,” including computation beyond leading classical simulation methods and a way to establish trust in the result. That is the organizations’ characterization of a specific demonstration, not evidence that quantum computers are generally faster or more useful than classical machines. See their announcement for the scope of the claim.

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Why are current quantum computers limited?

Qubits are fragile: interactions with their environment can disturb their states and introduce errors. Those errors limit the complexity and depth of circuits a device can run reliably. Useful large-scale computation therefore depends on error correction and fault tolerance—engineering methods that detect and manage errors while preserving the computation.

NIST describes today’s quantum computers as rudimentary and error-prone, and notes that a large machine for applications such as Shor’s algorithm may require millions of qubits operating reliably. That is a requirement discussed for a future large-scale application, not a description of today’s machines. The DOE’s 2024 roadmap likewise identifies noise, error correction, and fault-tolerant computing as central research challenges.

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Qubit count by itself is not a sound measure of practical capability. What matters is whether a system can control qubits accurately enough, sustain a useful computation, and produce a result that can be checked and compared with strong classical methods.

Can quantum computers break encryption today?

No. Shor’s algorithm gives a theoretical route to factoring large numbers, which could threaten public-key cryptographic systems if a sufficiently large, fault-tolerant machine were built. NIST’s description of the scale required and the error-prone state of current devices does not support claims that present-day quantum computers can break ordinary internet encryption.

Will quantum computers replace classical computers?

They are expected to complement classical systems. Classical computers remain the dependable, general-purpose tools for everyday computing; quantum machines are specialized and may be valuable for selected workloads if their errors can be controlled and their results offer a practical advantage. A useful comparison should therefore start with the workload, not the machine label.

  • Identify the precise task and the output that matters.
  • Check whether a quantum algorithm has a demonstrated or theoretical advantage for that task, rather than assuming one.
  • Consider whether the quantum system can run the needed computation with sufficient error control.
  • Compare the result with the strongest relevant classical method, including whether it is useful in practice.

How to learn more

IBM Quantum Learning offers a course on quantum query algorithms for readers who want to explore how quantum algorithms extract useful information from computation.

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