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Freedom251 › Blog › decoherence

Why Quantum Computers Still Make Errors—and What Limits Their Reliability

By Freedom251 Team · · 9 min read

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Quantum computers make errors because qubits are fragile physical systems: interactions with their surroundings can disturb quantum information, while control pulses, two-qubit gates and measurements are never perfectly accurate. Reliability therefore depends on the entire stack—hardware, controls, circuit design, error processing, correction, decoding and scaling—not on the number of physical qubits alone.

What a quantum error actually is

A classical bit is intended to be either 0 or 1. A qubit can occupy a superposition of basis states, and its relative phase is part of the information being computed. That richer state is useful, but it also creates more ways for an unwanted interaction to damage the computation.

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Quantum information can suffer a bit-flip error, in which the state changes toward the opposite basis value, or a phase error, in which the relative phase changes without an obvious change in the measured 0/1 value. A physical device must preserve coherence long enough to run a circuit, apply accurately timed operations, connect qubits, and finally measure them. These requirements pull in opposite directions: the qubits must be isolated from uncontrolled interactions but accessible enough to control.

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“Because quantum bits (“qubits”) are extremely sensitive to their environment, they are prone to errors like decoherence and noise.”

IBM Quantum authors Robert Davis, Olivia Lanes and John Watrous, May 30, 2025

Where the errors come from

Decoherence and environmental noise

Decoherence is the loss of the carefully maintained quantum relationships that a computation relies on. Thermal energy, electromagnetic disturbances, material defects, vibrations and unintended coupling to nearby circuitry can all carry information away from a qubit or randomize its state. Even when no gate is being applied, waiting can allow the state to drift.

Noise is not one single failure mode. Different hardware platforms have different dominant mechanisms, and a device can have separate timescales for losing population information and for losing phase information. The practical result is the same: a circuit has a finite window in which its state remains useful.

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Imperfect gate operations

A gate is a physical control operation, not an abstract instruction executed with infinite precision. Pulse amplitude, frequency, duration and timing can be slightly wrong. A pulse intended to rotate one qubit can leave a residual rotation, excite an unwanted level or affect a neighboring qubit. Two-qubit gates are especially demanding because they must create the intended interaction while suppressing unwanted coupling.

Control errors can also correlate: crosstalk, calibration drift or a shared control line may make the error on one operation depend on what else is happening. Recalibration can reduce such effects, but calibration itself does not make every future operation identical.

Measurement errors

At the end of a circuit, the readout electronics must convert a quantum state into a classical result. A detector can report 1 when the state was 0, report 0 when it was 1, or lose a result altogether. Readout errors can vary by qubit and by the state being measured. If a circuit is sampled many times, these mistakes bias the estimated probabilities rather than appearing as one easily identifiable failure.

Why circuit depth and scale make reliability harder

Every additional gate, qubit interaction and measurement creates another opportunity for an error. A shallow circuit may produce a useful estimate even when individual operations are imperfect; a deeper circuit gives noise more chances to accumulate and can make the output distribution depart substantially from the ideal one. IBM’s technical explanations identify decoherence, gate errors and measurement errors as limits on circuit depth and warn that estimates can become faulty even for shallow circuits.

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Increasing the physical-qubit count does not automatically increase the size of a reliable computation. More qubits mean more control channels, couplings, calibration data and readout paths. If the architecture cannot address qubits independently, connect the required pairs or process error information quickly enough, the extra hardware may not translate into a larger useful circuit.

Reliability is therefore a system property. It includes the error rate of individual operations, how errors correlate, the circuit’s depth and connectivity demands, the quality of readout, and the ability to characterize and respond to errors while the computation is running.

Three layers of dealing with errors

Quantum developers use related but distinct strategies. The differences matter because a method that improves an estimate from one noisy circuit does not necessarily protect a qubit for an arbitrarily long computation.

Approach Primary action What it can support Main costs and limits
Error suppression Reduce physical errors through hardware design, calibration, controls and pulse shaping. Cleaner individual operations and longer usable circuits on the same device. Engineering effort, calibration time and control complexity; it cannot eliminate all environmental or stochastic errors.
Error mitigation Estimate the noise-free answer from results of noisy circuits using extra sampling and classical processing. Selected expectation values or circuit estimates before full error correction is available. More circuit executions and classical computation; sampling overhead can grow quickly, and mitigation is not real-time correction.
Quantum error correction Encode one logical qubit across multiple physical qubits, extract syndromes and infer corrections. A protected logical qubit whose errors can be detected and corrected repeatedly. Additional physical qubits, gates, measurements, connectivity, decoding and feedback.
Fault-tolerant computation Operate on encoded logical qubits so errors remain below the level that would overwhelm a long computation. Large, deep algorithms with a reliability target that scales with computation size. Requires the whole architecture—logical gates, decoder, adaptivity, connectivity and scaling—to work together.

Error suppression: prevent as many faults as possible

Suppression attacks the physical causes of errors rather than trying to infer a result after the fact. Engineers improve materials, shielding, thermal conditions, microwave or optical controls, wiring and calibration procedures. Pulse-level techniques can also shape an operation so it reaches the intended state while avoiding unwanted transitions.

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One example described by IBM is DRAG pulse shaping, which modifies a control pulse to reduce leakage into unwanted energy levels. Better suppression lowers the burden on every later layer: fewer faulty gates mean fewer corrupted samples and fewer syndromes for a decoder to process. Suppression remains valuable even in a fault-tolerant machine because error correction has finite resources.

Error mitigation: estimate around noise

Mitigation accepts that a near-term circuit is noisy and tries to remove, or at least reduce, the noise’s effect on the reported quantity. It usually runs related circuits many times, then applies a classical transformation to their measured results.

Zero-noise extrapolation

In zero-noise extrapolation, the same computation is executed at deliberately increased noise levels—for example, by stretching pulses or inserting operations that preserve the ideal computation. A classical fit is then used to estimate what the result would be at zero noise. The estimate depends on the chosen noise-scaling method and on how well the extrapolation model describes the device.

Probabilistic error cancellation

Probabilistic error cancellation characterizes noisy operations and combines sampled implementations with positive and negative weights to reconstruct an idealized result. This can reduce bias, but the number of samples required can become large because statistical variance grows with the amount of cancellation.

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Mitigation is useful for expectation values and other aggregate results from a particular circuit. It does not identify and repair every error as the circuit runs, and it does not create a protected logical state that can be stored indefinitely. The practical trade-off is usually between a better estimate and the extra quantum shots and classical processing needed to obtain it.

IBM reported in September 2026 that some emerging error-correction techniques achieved approximately 10× lower effective error rates than the underlying physical hardware, and that a hybrid technique produced a 63× reduction in inferred sampling overhead compared with mitigation alone. Those are IBM-reported results for the methods and workloads described in that article, not guarantees for every platform, circuit or future device.

Quantum error correction: protect a logical qubit

Error correction changes the unit of protection. Instead of storing information in one physical qubit, a code distributes one logical qubit across many physical qubits. Carefully chosen measurements, called syndrome extraction, reveal information about which error occurred without directly measuring away the logical state.

How syndrome extraction works

  1. Encode the state. Prepare a set of physical qubits in the code’s entangled state and place the logical information in that encoded space.
  2. Measure checks. Ancilla or data qubits participate in parity-like checks whose outcomes indicate an error pattern without revealing the logical 0/1 superposition itself.
  3. Decode the syndrome. A classical decoder analyzes the sequence of check results and assigns the most likely error pattern, including the possibility that no correction is needed.
  4. Apply or track the correction. The system applies a physical operation or updates a software record of the logical Pauli frame, then repeats the cycle while computation continues.

The checks must themselves be implemented with imperfect gates and measurements. That is why error correction does not simply remove the underlying problem: it adds operations that can fail, and the code only helps when the physical error processes, circuit design and decoder stay within a regime where correction is more effective than error accumulation.

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Why the resource overhead is substantial

  • Physical qubits: Many physical qubits are needed for one logical qubit, with additional qubits often used for syndrome extraction.
  • Gates and measurements: Repeated checks add operations and readouts to the original algorithm.
  • Connectivity: The hardware must connect the qubits required by the code and route interactions when it cannot do so directly.
  • Classical decoding: Syndrome data must be interpreted quickly enough to keep up with repeated correction cycles.
  • Control and calibration: More channels and simultaneous operations create more opportunities for crosstalk, drift and scheduling conflicts.
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Fault tolerance: reliability for a long computation

Fault tolerance is the system-level goal of performing large computations accurately despite physical errors. It is more than demonstrating a code on a small patch of qubits. A fault-tolerant architecture must execute a universal set of logical operations, move or connect logical information as needed, extract and decode syndromes continuously, and provide adaptive feedback without allowing errors to spread faster than they can be corrected.

The U.S. Department of Energy’s December 2024 quantum-information roadmap emphasizes the additional physical qubits and gates required for full error correction and fault-tolerant logical operations. The roadmap’s definition is a useful test: the question is whether the architecture can maintain accuracy as the computation becomes large, not whether one short experiment produced a promising output.

IBM has identified six system criteria for a scalable architecture:

  • Fault tolerance: logical errors remain sufficiently rare for the target computation.
  • Addressability: individual qubits or logical elements can be controlled and measured as required.
  • Universality: the available logical operations can express arbitrary algorithms, within the architecture’s model.
  • Adaptivity: later operations can respond to measurement and decoder information.
  • Modularity: components can be combined without unacceptable communication or calibration penalties.
  • Efficiency: the qubit, gate, measurement and control overhead is compatible with scaling.

How to judge a reliability claim

When a laboratory or vendor reports an improvement, ask what level was measured and what resource was counted.

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  1. Identify the object: Is the result about a physical gate, a noisy circuit estimate, a logical qubit or a complete algorithm?
  2. Check the error definition: Is it a measured physical error rate, an effective logical error rate, a bias in an expectation value or a sampling overhead?
  3. Inspect the workload: Note the circuit depth, number of qubits, connectivity, number of samples and whether the result depends on a special structure.
  4. Account for classical work: Mitigation and decoding can shift cost from the quantum processor to computation, memory and real-time control.
  5. Separate demonstration from scaling: A small error-correction experiment shows that a technique works under those conditions; it does not by itself establish a machine capable of a large useful fault-tolerant algorithm.

A credible reliability assessment therefore reports more than a headline qubit total. It describes operation errors, readout quality, circuit depth, logical performance, decoder latency, connectivity and the overhead required to reach the stated result.

What currently limits useful quantum computation

The central limitation is the balance between information gained from a quantum circuit and information lost to errors before that circuit finishes. Physical improvements can extend the usable depth, mitigation can make selected estimates more informative, and error correction can turn many imperfect components into a more reliable logical component. Each step adds resources and introduces its own failure modes.

Until logical operations, syndrome extraction, decoding, feedback and hardware scaling all operate reliably together, a larger physical machine may still be unable to run a proportionally larger useful algorithm. Quantum computing’s reliability frontier is consequently defined by the depth and complexity of computation that the complete system can execute with a verified error budget—not by qubit count in isolation.

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decoherenceerror mitigationfault-tolerant computingQuantum Computingquantum error correctionqubit reliability

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