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What Problems Can Quantum Computers Solve Today?

Quantum computers can run specialized research experiments today, but practical uses such as faster logistics or breaking encryption remain out of reach.
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Today’s quantum computers can perform specialized research demonstrations, including hard-to-simulate benchmark calculations and simulations of small quantum systems. They are not general-purpose replacements for classical computers, and current demonstrations do not show that quantum hardware routinely solves practical business or consumer problems faster. The most credible near-term scientific target is modeling quantum systems; optimization and code-breaking remain prospective applications that depend on capabilities current machines do not yet have.

What quantum computers have demonstrated

A quantum advantage claim is about a particular task, not a blanket speed advantage. The task, classical comparison, ability to check the output, and use of error correction all matter. A difficult benchmark can establish progress in quantum control or verification without showing a useful everyday application.

A structured computational benchmark

On July 30, 2026, IBM and the University of Chicago reported a structured logical-circuit computation using an error-correction method to encode 70 logical qubits. IBM said the computation took about 15 minutes and that leading classical simulation methods faced infeasible runtimes. The researchers also described a statistical check that placed a lower bound on how faithfully the computation was executed. This is a company-and-collaborator-reported benchmark and verification result; it is not evidence that ordinary workloads now run faster on quantum hardware. IBM’s account reports 2,415 logical two-qubit operations, 468 logical T gates, and effective logical error rates 10 times lower than physical error rates.

A verifiable quantum-system experiment

Google Quantum AI’s October 2025 account described its Willow chip and Quantum Echoes algorithm as achieving “verifiable quantum advantage” in an experiment that used the algorithm to reveal information about quantum-system dynamics, including systems relevant to molecules. Google reported a 105-qubit chip, fidelities of 99.97% for single-qubit gates, 99.88% for entangling gates, and 99.5% for readout, as well as one trillion measurements during the project. These are Google’s figures for its hardware and experiment, not an independent comparison of practical usefulness or proof of a general molecular-design capability. Google’s explanation of the experiment describes what the team tested.

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Where quantum computing has a plausible scientific use

Molecules, materials, and other physical systems follow quantum rules. Simulating them on classical computers can be difficult, which is why researchers see quantum processors as a possible scientific tool. NIST reports demonstrations calculating energies of small molecules and simulating magnetic properties of interacting atoms. These are research calculations, not proof that current machines can routinely solve important industrial chemistry or materials problems. NIST cautions that early demonstrations have not necessarily shown truly useful applications. NIST’s overview explains both the motivation and the limits.

The U.S. Department of Energy’s Quantum Genesis initiative identifies chemistry, materials science, plasma physics, and high-energy physics as target fields for planned fault-tolerant systems. Its 2028 development goal describes a program ambition, not a capability already available to researchers today. DOE’s initiative announcement sets out that goal.

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What about optimization and logistics?

Scheduling, logistics, and process design are often proposed as quantum-computing applications, but the existence of a quantum processor does not make it better at these problems. A useful result would require a quantum algorithm suited to the task and a meaningful comparison with strong classical methods. NIST describes optimization as a potential application and says most practical applications may be years or perhaps decades away. The sources do not establish routine quantum wins on real-world optimization workloads.

Can today’s quantum computers break encryption?

No. Shor’s algorithm shows that a sufficiently large, reliable quantum computer could efficiently factor large numbers, threatening some widely used public-key cryptography. NIST and Google describe that as a future risk, not a present ability of noisy quantum machines. Google’s 2025 overview estimates that breaking public-key encryption could require approximately 4 million physical qubits; that is Google’s estimate, not a universally settled threshold. Google’s quantum-computing overview discusses the estimate and the long-term nature of the threat.

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NIST released post-quantum cryptography standards in 2024. Organizations should plan migration to those standards as part of managing future cryptographic risk; their existence does not mean quantum computers can currently defeat the encryption in use. NIST’s announcement describes the finalized standards.

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Why current machines remain limited

Qubits are vulnerable to disturbances such as stray fields and temperature fluctuations. Errors can corrupt information, while a useful calculation may require many qubits to stay controlled and entangled. Error correction encodes logical information across physical components to reduce the impact of errors, but scaling this into a generally useful fault-tolerant machine remains a substantial engineering and research challenge. NIST’s explanation of quantum computing describes these constraints.

Logical-qubit demonstrations and announced roadmaps should be read as milestones, not as proof that the full challenge is solved. DOE’s Quantum Genesis initiative targets systems with logical qubits in the low hundreds as part of its goal for scientifically relevant fault-tolerant computing by 2028. That is a stated government program target, not a report of current availability. DOE’s program description gives the scope and timeline.

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How to assess a quantum-computing claim

  • Identify the task. A circuit-sampling benchmark is different from a chemistry calculation or a business optimization workload.
  • Check the classical comparison. Look for the methods and baseline used, and whether they are appropriate to the specific task.
  • Ask how the output was checked. Verification and confidence in the answer matter, especially when classical simulation is difficult.
  • Separate physical and logical qubits. A physical-qubit count alone does not describe error-corrected capacity or the operations performed.
  • Distinguish difficulty from usefulness. Showing that a task is hard to simulate classically does not, by itself, establish a practical benefit.

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