Quantum PCP Theorem
Before we can understand the Quantum PCP Theorem, we need to review the classical PCP (Probabilistically Checkable Proofs) Theorem. The PCP Theorem (a cornerstone of theoretical computer science) says: Any….
Before we can understand the Quantum PCP Theorem, we need to review the classical PCP (Probabilistically Checkable Proofs) Theorem. The PCP Theorem (a cornerstone of theoretical computer science) says: Any….
Quantum computing is an emerging field where code optimization plays a crucial role in ensuring that quantum algorithms run efficiently, especially given the current limitations of quantum hardware. Quantum code….
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Quantum channels form the backbone of quantum communication. Whether it’s distributing entanglement, transmitting qubits, or sending classical information securely, the capacity of a quantum channel tells us how much information….
Quantum repeaters are critical components in long-distance quantum communication systems. They play a similar role to classical repeaters in fiber-optic networks, but with a key difference: they are designed to….
NISQ stands for Noisy Intermediate-Scale Quantum. These are the quantum computers we have today: In this context, error correction means finding ways to reduce, avoid, or compensate for errors in….
A logical qubit is a virtual qubit created by using several physical qubits to protect and preserve quantum information. Logical qubits are the error-protected version of quantum bits and are….
Fault-tolerant quantum gates are quantum operations that are designed to work correctly even when some parts of the system experience small errors. In simpler terms: They are the “error-proof” buttons….
Syndrome measurement is the process of detecting which error (if any) has affected a quantum state—without destroying the quantum information itself. In simple terms: Syndrome measurement is like a quantum….