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Quantum cryptography

Quantum cryptography is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Quantum cryptography rather than just read about it. In short: Quantum cryptography is the exploiting of quantum-mechanical properties such as quantum entanglement, measurement disturbance, no-cloning theorem, and the principle of superposition to perform encryption tasks. Quantum encryption plays a crucial role in the secure processing, storage, and transmission of information.

Quantum cryptography — main illustration
Quantum cryptography — illustration

Key takeaways

  • Quantum cryptography belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Quantum cryptography to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Quantum cryptography from memory before moving on to harder problems.

Reference excerpt

Quantum cryptography is the exploiting of quantum-mechanical properties such as quantum entanglement, measurement disturbance, no-cloning theorem, and the principle of superposition to perform encryption tasks. Quantum encryption plays a crucial role in the secure processing, storage, and transmission of information. One aspect of quantum cryptography is quantum key distribution (QKD), which offers an information-theoretically secure solution to the key-exchange problem. Quantum cryptography allows the completion of cryptographic tasks that are proven or conjectured to be impossible using only classical (i.e., non-quantum) communication. Furthermore, quantum cryptography affords the authentication of messages, which allows the legitimate parties to prove that the messages were not wiretapped during transmission. Thus, in a cryptographic set-up, it is impossible to copy, with perfect fidelity, the data encrypted in a quantum state. If one attempts to read the encrypted data, the quantum state will be changed due to wave function collapse (no-cloning theorem). This could be used to detect eavesdropping in QKD schemes, or in quantum communication links and networks. These advantages make quantum cryptography important in the digital age, where devices are increasingly interconnected and cyberattacks have become increasingly sophisticated. Quantum-mechanical properties – more specifically, quantum authentication – are critical components in the advancement of a quantum internet, as they establish robust mechanisms to ensure the long-term privacy and integrity of digital communications and systems.

History

In the early 1970s, Stephen Wiesner, then at Columbia University in New York, introduced the concept of quantum conjugate coding. His seminal paper titled "Conjugate Coding" was rejected by the IEEE Information Theory Society but was eventually published in 1983 in SIGACT News. In this paper he showed how to store or transmit two messages by encoding them in two "conjugate observables", such as linear and circular polarization of photons, so that either, but not both, properties may be received and decoded. It was not until Charles H. Bennett, of the IBM's Thomas J. Watson Research Center, and Gilles Brassard met in 1979 at the 20th IEEE Symposium on the Foundations of Computer Science, held in Puerto Rico, that they discovered how to incorporate Wiesner's findings. "The main breakthrough came when we realized that photons were never meant to store information, but rather to transmit it." In 1984, building upon this work, Bennett and Brassard proposed a method for secure communication, which is now called BB84, the first Quantum Key Distribution system. Independently, in 1991 Artur Ekert proposed to use Bell's inequalities to achieve secure key distribution. Ekert's protocol for the key distribution, as it was subsequently shown by Dominic Mayers and Andrew Yao, offers device-independent quantum key distribution. Companies that manufacture quantum cryptography systems include MagiQ Technologies, Inc. (Boston), ID Quantique (Geneva), QuintessenceLabs (Canberra, Australia), Toshiba (Tokyo), QNu Labs (India) and SeQureNet (Paris).

Advantages Cryptography is the strongest link in the chain of data security. However, interested parties cannot assume that cryptographic keys will remain secure indefinitely. Quantum cryptography has the potential to encrypt data for longer periods than classical cryptography. Using classical cryptography, scientists cannot guarantee encryption beyond approximately 30 years, but some stakeholders could use longer periods of protection. Take, for example, the healthcare industry. As of 2017, 85.9% of office-based physicians are using electronic medical record systems to store and transmit patient data. Under the Health Insurance Portability and Accountability Act, medical records must be kept secret. Quantum key distribution can protect electronic records for periods of up to 100 years. Also, quantum cryptography has useful applications for governments and militaries as, historically, governments have kept military data secret for periods of over 60 years. There also has been proof that quantum key distribution can travel through a noisy channel over a long distance and be secure. It can be reduced from a noisy quantum scheme to a classical noiseless scheme. This can be solved with classical probability theory. This process of having consistent protection over a noisy channel can be possible through the implementation of quantum repeaters. Quantum repeaters have the ability to resolve quantum communication errors in an efficient way. Quantum repeaters, which are quantum computers, can be stationed as segments over the noisy channel to ensure the security of communication. Quantum repeaters do this by purifying the segments of the channel before connecting them creating a secure line of communication. Sub-par quantum repeaters can provide an efficient amount of security through the noisy channel over a long distance.

… excerpt ends here. Continue reading the full article.

Illustrations

Quantum cryptography: Alice decides her random basis and sequence of qubits. She then sends the qubits as photons to Bob via the quantum channel. Bob detects these qubits and records his results in a table. Based on the table, Bob makes his guess to Alice on what basis she used.
Alice decides her random basis and sequence of qubits. She then sends the qubits as photons to Bob via the quantum channel. Bob detects these qubits and records his results in a table. Based on the table, Bob makes his guess to Alice on what basis she used.

Worked examples

Example 1 — a first encounter with Quantum cryptography

Start with the simplest possible case. Write down what Quantum cryptography claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Quantum cryptography before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Quantum cryptography ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Quantum cryptography

In research
Quantum cryptography appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Quantum cryptography in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Quantum cryptography is common in secondary-school and first-year university syllabi. It links to neighbouring topics Quantum cryptography, so understanding it makes those chapters shorter.
In everyday life
Look for Quantum cryptography outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Quantum cryptography in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Quantum cryptography means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Quantum cryptography out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Quantum cryptography in simple terms?

Quantum cryptography is the exploiting of quantum-mechanical properties such as quantum entanglement, measurement disturbance, no-cloning theorem, and the principle of superposition to perform encryption tasks. Quantum encryption plays a crucial role in the secure processing, storage, and transmiss…

Why does Quantum cryptography matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Quantum cryptography?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Quantum cryptography.

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