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A complex vector that describes the state of a qubit, represented on the Bloch Sphere by an arrow pointing from the center of the sphere to its surface for pure states.

A physical quantity that can be measured in a quantum system, represented mathematically by hermitian operators, and whose eigenstates correspond to particular points on the Bloch Sphere.

A specific type of entangled quantum state of two qubits that represents the simplest and most powerful form of quantum information, Bell states cannot be represented by a single Bloch Sphere since they involve entanglement.

A characteristic of a quantum state that represents a relative difference in the wave function, attributable to rotations around the z-axis on the Bloch Sphere that do not affect measurement probabilities for states |0> and |1>.

A set of three 2 by 2 complex matrices that are widely used in quantum mechanics to describe the spin of quantum particles, directly related to rotations on the Bloch Sphere.

The quantum states that have well-defined values for observable quantities, corresponding to the points at the poles on the Bloch Sphere (e.g., the states |0> and |1>).

The complex number that describes the probability amplitude of a quantum state, related to the length of the vector in the Bloch Sphere for a pure state.

Logical operation on a quantum bit that changes its state, visualized as rotations and transformations on the Bloch Sphere.

A quantum phenomenon where two or more particles become linked and the state of one cannot be adequately described without the state of the others, even when separated by large distances. Not directly visualized on a single qubit Bloch Sphere.

The process of observing a quantum state, causing the state vector to collapse into one of the basis states, represented on the Bloch Sphere by moving the state to one of the poles.

A statistical mixture of more than one quantum state, represented inside the Bloch Sphere, indicating a lack of complete information about the superposition of states.

A reversible transformation governing quantum mechanics, preserving probabilities, and usually visualized as rotations on the Bloch Sphere.

The basic unit of quantum information, represented by a state that can be visualized as a point on the Bloch Sphere, which reflects its superposition of the states |0> and |1>.

A principle in quantum mechanics that states it is impossible to create an identical copy of an arbitrary unknown quantum state, which is inferred from the Bloch Sphere as no operation can duplicate the state vector's orientation exactly.

The loss of quantum coherence, resulting when a quantum system interacts with its environment leading to the classical limit—this deterioration is not shown on the Bloch Sphere but is crucial for understanding real quantum systems.

A quantum state with complete information about a qubit, represented by a point on the surface of the Bloch Sphere, as opposed to a mixed state.

The 3D real vector that corresponds to the state vector of a qubit on the Bloch Sphere, offering a real-valued visualization of the state.

The phenomenon by which multiple quantum amplitudes can add together or cancel out, leading to the probabilistic nature of quantum measurement outcomes; this is not directly shown on the Bloch Sphere but is crucial to quantum operations.

A fundamental principle of quantum mechanics where a quantum system can exist in multiple states at once until measured, visualized as points on the surface of the Bloch Sphere.