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Quantum Bits

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Amplitude Amplification

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Amplitude amplification is a quantum algorithmic technique used to increase the probability amplitude of desired states, thereby increasing the chance of measuring them.

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Pauli X Gate

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The Pauli X gate acts as a quantum NOT gate, flipping the |0⟩ state to the |1⟩ state and vice versa, much like a classical bit flip.

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Deutsch-Jozsa Algorithm

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The Deutsch-Jozsa algorithm is a quantum algorithm that determines, with a single query, whether a function is constant (the same output for all inputs) or balanced (half the outputs are 0 and half are 1), a task that would require at least a linear number of queries classically.

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Pauli Y Gate

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The Pauli Y gate is a quantum gate that rotates the qubit state by π\pi radians around the y-axis of the Bloch sphere.

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Hadamard Gate

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The Hadamard gate creates superposition states by transforming the base states 0|0\rangle and 1|1\rangle into equal superpositions of both.

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Quantum Interference

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Quantum interference is the phenomenon where the probability amplitudes of quantum states can combine coherently, leading to an increase or decrease in the likelihood of certain outcomes.

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Quantum Entanglement

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Quantum entanglement is a phenomenon in which quantum bits become correlated in such a way that the state of one qubit instantly influences the state of the other, no matter the distance apart.

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Quantum State Collapse

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Quantum state collapse occurs when a qubit's state becomes one of the base states |0⟩ or |1⟩ due to a measurement.

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Quantum Noise

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Quantum noise refers to the unwanted disturbances that can lead to errors in qubits and the loss of quantum information, caused by interaction with the environment.

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Quantum Bit (Qubit)

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A qubit is the quantum analogue of a classical bit, having the capability to be in a state |0⟩, |1⟩, or any quantum superposition of these states.

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Quantum Phase

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Quantum phase refers to the angle between the probability amplitudes of a qubit's state in complex number representation; it's crucial for interference effects in quantum algorithms.

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Quantum Teleportation

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Quantum teleportation is the protocol by which the state of a qubit is transferred from one location to another, without physically moving the qubit itself, through the use of entanglement and classical communication.

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Quantum Circuit Model

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The quantum circuit model is a conceptual model for quantum computation where computations are a sequence of quantum gates, represented by unitary matrices, acting coherently on an array of qubits.

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Bloch Sphere

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The Bloch Sphere is a geometrical representation of pure state qubit states as points on the surface of a sphere.

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Quantum Coherence

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Quantum coherence is the property of qubits that allows them to exhibit superposition and maintain phase relationships which are necessary for quantum computation.

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Quantum Decoherence

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Quantum decoherence is the process by which quantum systems interact with their environment in a thermodynamically irreversible way, leading to the loss of quantum coherence and entanglement.

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No-Cloning Theorem

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The no-cloning theorem states that it is impossible to create an identical copy of an arbitrary unknown quantum state due to the linearity of quantum mechanics.

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Quantum Measurement

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Quantum measurement is the process of observing a qubit, causing the wave function to collapse to one of its eigenstates, with the outcome governed by probability amplitudes.

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Bell State

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A Bell state is a type of quantum state of two qubits that are maximally entangled and exhibit perfect correlations in their properties when measured.

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Quantum Algorithm

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A quantum algorithm is a step-by-step procedure, designed for execution on a quantum computer, that utilizes quantum phenomena like superposition and entanglement to solve problems more efficiently than classical algorithms can.

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Superposition

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Superposition refers to a quantum bit's ability to exist in a combination of the base states |0⟩ and |1⟩ simultaneously.

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Quantum Tunneling

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Quantum tunneling is a quantum phenomenon where particles pass through potential barriers that they classically shouldn't be able to overcome.

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Pauli Z Gate

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The Pauli Z gate changes the phase of the qubit state without changing its amplitudes, effectively rotating around the z-axis of the Bloch sphere by π\pi radians.

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Quantum Error Correction

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Quantum error correction is a set of methods in quantum computing to protect quantum information against errors due to decoherence and other quantum noise.

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Quantum Gate

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A quantum gate is an elementary building block of a quantum circuit, similar to a classical logic gate, except that it operates on qubit(s) and is reversible, represented by a unitary matrix.

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