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Freedom251 › Blog › cybersecurity

Post-Quantum Cryptography vs. Traditional Public-Key Cryptography: What Changes and How to Prepare

By Freedom251 Team · · 10 min read

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Post-quantum cryptography (PQC) is conventional software-based cryptography designed to withstand attacks from both classical and future quantum computers. Traditional public-key systems such as RSA and elliptic-curve cryptography depend on factoring or discrete-logarithm problems that a sufficiently capable cryptographically relevant quantum computer could solve efficiently. PQC replaces those assumptions with constructions based primarily on structured lattices and hash functions. It runs on ordinary hardware, but adopting it is an inventory, risk-prioritization and interoperability program rather than a one-line algorithm swap.

What is the difference between PQC and traditional public-key cryptography?

Traditional public-key cryptography lets parties establish secrets, authenticate messages and verify integrity without first sharing a secret key. RSA and elliptic-curve systems are the familiar examples. Their security depends on mathematical problems that are considered impractical for classical computers to solve at the sizes used in deployed systems.

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Post-quantum cryptography uses different mathematical problems selected to resist both conventional and quantum attacks. The algorithms are still implemented in ordinary servers, clients, network devices and certificates; no quantum computer is required to use them. The term quantum-resistant cryptography describes this design goal. It should not be confused with quantum cryptography, which is a separate field involving quantum communication systems.

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Comparison axis Traditional public-key cryptography Post-quantum cryptography
Security basis Common systems rely on integer factorization or discrete-logarithm problems, including RSA and elliptic-curve approaches. NIST’s first standards use structured-lattice or hash-based constructions. They are believed to withstand known classical and quantum attacks, but no cryptographic design should be described as proven invulnerable.
Quantum exposure A sufficiently powerful cryptographically relevant quantum computer could undermine important public-key encryption, key-establishment and signature schemes. Algorithms are designed to resist attacks by conventional and quantum computers and run in ordinary systems.
Key establishment Existing guidance includes schemes based on discrete logarithms and integer factorization. FIPS 203 specifies ML-KEM, a key-encapsulation mechanism for establishing a shared secret.
Digital signatures Conventional signatures provide authentication and integrity, but some depend on quantum-vulnerable public-key assumptions. FIPS 204 specifies ML-DSA and FIPS 205 specifies SLH-DSA as post-quantum signature standards.
Migration Deployments are embedded in products, services, protocols, certificates and identity systems. Organizations must discover those dependencies, prioritize risk, update implementations and test interoperability.

Why can a quantum computer threaten today’s public-key systems?

Classical hardness is the foundation

Public-key cryptography deliberately creates an easy operation and a hard inverse. Anyone can use a public key to perform the permitted operation, while recovering the private key from public information is expected to require an infeasible amount of computation. RSA uses the difficulty of factoring large integers. Elliptic-curve systems use the difficulty of discrete logarithms on an elliptic-curve group.

Those assumptions are not claims that the problems are mathematically impossible. They are judgments about the resources available to known classical algorithms. Security depends on choosing parameters large enough that a practical attack is out of reach for the lifetime of the protected data.

Quantum capability changes the cost calculation

A sufficiently capable quantum computer could apply algorithms that make the relevant factoring and discrete-logarithm problems tractable at cryptographically important sizes. The result would be more serious than a modest speed improvement: key-establishment schemes could be broken, and forged signatures could be generated for systems that trust the affected public keys.

This is why the phrase quantum-vulnerable public-key algorithms refers to a class of existing systems rather than to a defect in one vendor’s implementation. A correctly implemented RSA or elliptic-curve system can still be vulnerable to the future computing model for which its hardness assumptions were not designed.

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The timing is unknown, but preparation has a lead time

NIST says nobody knows when, or even whether, a cryptographically relevant quantum computer will exist. Expert estimates cited by NIST range from a few years to a few decades; that range is not a forecast or probability. Organizations still have reason to act because replacing cryptography embedded in hardware, software, protocols, certificates and identity processes can take many years.

Confidential information can also be collected now and decrypted later. This harvest now, decrypt later risk matters when the information must remain secret for years. A system can therefore require migration before a quantum machine is available, even if the immediate classical threat has not changed.

NIST mathematician Dustin Moody, who leads its post-quantum cryptography standardization project, put the timing issue in practical terms: “We encourage organizations to begin their transition to these standards immediately to ensure their data remains secure in the quantum era.”

How post-quantum cryptography works

It is cryptography for conventional computers

PQC algorithms are software and mathematical constructions that execute on the same general categories of systems used today. They do not require quantum links, quantum sensors or access to a quantum processor. A normal application negotiates a key or verifies a signature using a PQC implementation just as it uses a traditional public-key implementation.

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Different mathematical assumptions

NIST’s first finalized standards use two broad families. ML-KEM and ML-DSA use structured-lattice constructions. Lattice problems can be expressed using geometric structures in high-dimensional spaces; the security rationale does not depend on factoring or discrete logarithms. SLH-DSA is hash-based and derives its security from the behavior of cryptographic hash functions arranged into a signature system.

These choices are designed to resist known classical and quantum attacks. That wording is important: security confidence comes from current cryptanalysis and the absence of known practical attacks, not from a proof that every future attack is impossible.

NIST’s finalized PQC standards

NIST released its first three finalized post-quantum standards in August 2024. They divide the two jobs normally associated with public-key cryptography: establishing a shared secret and signing data.

Standard Algorithm Primary job Construction family
FIPS 203 ML-KEM Key-encapsulation mechanism used to establish a shared secret Structured lattice
FIPS 204 ML-DSA Digital signatures for authentication and integrity Structured lattice
FIPS 205 SLH-DSA Digital signatures for authentication and integrity Hash based

ML-KEM: establishing a shared secret

ML-KEM addresses the key-establishment role. One party publishes the information needed to create a encapsulated secret; the other uses its private key to decapsulate it. Both sides obtain the same shared secret, which can then protect application traffic with symmetric encryption.

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That role is different from signing. ML-KEM does not prove who sent a message, and replacing a key-establishment mechanism does not automatically replace the signature scheme used by the same protocol. Inventory work must therefore record which component performs each function.

ML-DSA: lattice-based signatures

ML-DSA is a digital-signature standard. A signer uses a private key to produce a signature, and anyone with the corresponding public key can verify that the message came from the expected key holder and was not altered. It is intended for the authentication and integrity functions currently handled by public-key signatures.

SLH-DSA: hash-based signatures

SLH-DSA provides another standardized signature option, using a hash-based construction rather than a lattice-based one. Having more than one signature family gives implementers an alternative security foundation and helps organizations avoid depending on a single mathematical approach.

What a PQC migration changes in a real organization

Migration is not simply replacing a text string such as RSA with ML-KEM. Public-key algorithms are woven through products, services, protocols, certificates and identity relationships. A change can affect a server and its clients, certificate issuance, hardware acceleration, firmware, archived signatures and third-party integrations.

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1. Discover where cryptography is used

Begin with an inventory of cryptographic use, not just a list of encryption products. Record where public-key algorithms establish keys, sign software or documents, authenticate devices, protect APIs, issue certificates or support identity federation.

  • Identify systems that use RSA or elliptic-curve key establishment.
  • Identify every place public-key signatures are generated or verified.
  • Map certificates, certificate authorities, trust stores and device identities.
  • Include protocols, libraries, firmware, appliances, mobile clients and hosted services.
  • Record data protected by each system and how long confidentiality or signature validity must last.
  • Capture dependencies on vendors whose update schedules are outside your control.

An inventory should identify the algorithm, the implementation, the data or function it protects, the owner, the upgrade path and the systems that must interoperate with it. Without those relationships, a team can update one endpoint and silently break another.

2. Prioritize by consequence and time

Risk prioritization should combine the value and confidentiality lifetime of the data with the criticality and upgrade lead time of the system. A low-volume archive containing trade secrets for a 20-year period may deserve attention before a high-volume service whose data has little long-term sensitivity. Similarly, an embedded device with a long certification cycle can require earlier planning than a software service that can be updated quickly.

  • Prioritize information exposed to harvest-now-decrypt-later collection.
  • Prioritize systems whose failure would disrupt safety, revenue, identity or essential operations.
  • Prioritize platforms with long procurement, certification or replacement cycles.
  • Prioritize certificate and identity systems that many applications depend on.
  • Track vendors and partners that have not yet documented a PQC-capable update path.

3. Build a transition roadmap

Turn the inventory into milestones: which systems will be upgraded, which owners are responsible, what interoperability tests are required, and what evidence permits production deployment. A roadmap should distinguish key establishment from signatures, because the two functions may be supplied by different libraries, certificates and protocol messages.

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Plan for staged work rather than a single enterprise-wide cutover. Define rollback procedures, maintain an approved list of implementations, and set a process for handling systems that cannot be upgraded on the same schedule as the rest of the environment.

4. Update products, services and protocols

Use vendor and standards updates that implement the finalized NIST algorithms. Review protocol versions, certificate tooling, hardware security modules, secure boot chains, code-signing systems and identity services. A component is not ready merely because its marketing material mentions quantum resistance; confirm which standardized algorithm it implements and how it interoperates with the rest of your environment.

Keep an explicit record of algorithm roles and parameters in configuration and asset documentation. This makes future changes traceable and prevents a signature component from being mistaken for a key-establishment component.

5. Test interoperability in a controlled environment

NIST’s migration work emphasizes controlled interoperability testing. Test the complete path: key generation, negotiation or encapsulation, certificate handling, signature creation, verification, error handling, logging and recovery. Include every client and service that must communicate, not just two endpoints from the same supplier.

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  • Verify that both sides derive the same shared secret when ML-KEM is used.
  • Verify that intended recipients accept valid ML-DSA and SLH-DSA signatures and reject modified messages.
  • Test certificate issuance, renewal, revocation and trust-store updates.
  • Measure operational effects in your own environment rather than assuming a laboratory result applies to your workload.
  • Exercise failure and rollback paths before enabling a new algorithm for production traffic.

6. Govern the change

Assign ownership for the inventory, risk decisions, supplier coordination and approval of production changes. Keep cryptographic dependencies in normal security and architecture reviews so that new systems do not add undocumented quantum-vulnerable algorithms while migration is under way.

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What NIST’s transition dates mean

NIST’s current post-quantum cryptography project page describes a transition ending in deprecation and ultimate removal of quantum-vulnerable algorithms from NIST standards by 2035, with high-risk systems moving sooner. That is a direction for standards transition, not a claim that every private system will be automatically disabled in 2035.

NIST’s document titled IR 8547, published as an initial public draft on November 12, 2024, provides more detailed transition discussion. The draft says 112-bit classical key-establishment schemes may be deprecated after 2030 and disallowed after 2035, while stronger classical schemes are also subject to later removal. Because IR 8547 is explicitly an initial public draft, those detailed dates should not be presented as final binding policy. Organizations should follow the current NIST project status and the requirements that apply to their sector, contracts and regulators.

Does PQC replace symmetric encryption?

No. The quantum exposure is not identical across cryptography. NIST’s IR 8547 draft says existing symmetric standards are significantly less vulnerable to known quantum attacks than the public-key standards discussed there. That does not eliminate the need to manage symmetric keys, select approved algorithms or maintain sound key rotation, but it does mean the migration plan should treat symmetric and public-key cryptography differently.

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In many systems, public-key cryptography establishes a shared secret and symmetric cryptography then protects the bulk data. A PQC migration therefore concentrates first on the vulnerable public-key step and on signatures, while preserving the separate controls used for symmetric encryption.

Common mistakes to avoid

Waiting for a precise quantum-computer forecast

No authoritative date exists. Treating uncertainty as a reason to wait ignores the time required to inventory dependencies, obtain updates, recertify systems and test interoperability.

Calling PQC quantum cryptography

PQC is designed for ordinary computing systems. Quantum cryptography is a distinct concept and should not be used as a synonym.

Changing only the visible algorithm label

A certificate, protocol, library, firmware image or hardware module may impose constraints that are invisible in an application configuration file. Map dependencies and test the end-to-end system.

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Assuming one PQC algorithm does every job

ML-KEM handles key establishment. ML-DSA and SLH-DSA handle digital signatures. Select and test the algorithm appropriate to the cryptographic function.

Describing any standard as invulnerable

The NIST standards are designed to resist known attacks, but no cryptographic design has a guarantee against every future cryptanalytic discovery. Maintain normal security monitoring and update processes.

A practical readiness checklist

  • Have all RSA and elliptic-curve uses been located, including those in certificates, firmware and supplier services?
  • Is each use labeled as key establishment, signing, authentication or another function?
  • Which data must remain confidential for years or decades?
  • Which systems are safety-critical, identity-critical or difficult to replace?
  • Which vendors have a documented path to FIPS 203, FIPS 204 or FIPS 205 implementations?
  • Can the organization test clients, servers, certificates and trust stores together?
  • Are rollback, incident response and exception processes defined?
  • Does the roadmap account for NIST’s 2035 transition direction and any earlier requirement for high-risk systems?

The decision in one sentence

Traditional public-key cryptography remains widely deployed and useful against classical attackers, but its factoring- and discrete-logarithm-based foundations are quantum-vulnerable; PQC offers standardized, conventional-computer alternatives, and the responsible response is to inventory exposure, prioritize long-lived and critical data, adopt ML-KEM, ML-DSA and SLH-DSA where appropriate, and prove interoperability before production migration.

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cybersecurityML-DSAML-KEMNISTpost-quantum cryptographyPublic Key Cryptographyquantum-resistant cryptographySLH-DSA

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