• Thumbnail for Bloch sphere
    In quantum mechanics and computing, the Bloch sphere is a geometrical representation of the pure state space of a two-level quantum mechanical system (qubit)...
    23 KB (3,793 words) - 22:40, 16 July 2024
  • Thumbnail for Qubit
    states. Mixed states can be represented by points inside the Bloch sphere (or in the Bloch ball). A mixed qubit state has three degrees of freedom: the...
    41 KB (4,860 words) - 08:08, 15 December 2024
  • Poincaré sphere may refer to: Poincaré sphere (optics), a graphical tool for visualizing different types of polarized light Bloch sphere, a related tool...
    340 bytes (76 words) - 02:45, 16 April 2019
  • Thumbnail for Riemann sphere
    other disciplines that depend on analysis and geometry, such as the Bloch sphere of quantum mechanics and in other branches of physics. The extended complex...
    22 KB (3,313 words) - 22:54, 11 December 2024
  • Thumbnail for Quantum logic gate
    equate, respectively, to a rotation around the x, y and z axes of the Bloch sphere by π {\displaystyle \pi } radians. The Pauli-X gate is the quantum equivalent...
    74 KB (10,116 words) - 22:08, 2 December 2024
  • Thumbnail for Two-state quantum system
    viewed as the precession of the state vector on the Bloch sphere. The representation on the Bloch sphere for a state vector ψ ( 0 ) {\displaystyle \psi (0)}...
    34 KB (6,605 words) - 04:58, 4 December 2024
  • Thumbnail for Stokes parameters
    (or density operators) of the quantum space C2, whose boundary is the Bloch sphere. The Jones vectors correspond to the underlying space C2, that is, the...
    24 KB (4,348 words) - 00:05, 7 December 2024
  • qubit parameters. A single qubit gate is achieved by rotation in the Bloch sphere. Rotations between different energy levels of a single qubit are induced...
    77 KB (8,635 words) - 08:39, 19 December 2024
  • Thumbnail for Quantum decoherence
    states on the surface of the Bloch sphere to mixed states within the Bloch sphere. This would contract the Bloch sphere by some finite amount and the...
    73 KB (10,515 words) - 07:56, 9 December 2024
  • Thumbnail for Felix Bloch
    Felix Bloch (/blɒk/; German: [blɔx]; 23 October 1905 – 10 September 1983) was a Swiss-American physicist and Nobel physics laureate who worked mainly...
    17 KB (1,523 words) - 21:14, 30 November 2024
  • adiabatic pulse sequence that takes the atom on a trajectory around the Bloch sphere and back. The levels pick up a phase on this trip due to the so-called...
    28 KB (3,631 words) - 16:06, 7 December 2024
  • Poincaré sphere to the real plane). A dynamical pseudospin skyrmion results from the stereographic projection of a rotating polariton Bloch sphere in the...
    25 KB (3,176 words) - 10:28, 29 October 2024
  • Poincaré sphere (but of radius P), as shown in the accompanying diagram. In quantum mechanics and computing, a related concept is the Bloch sphere. Often...
    12 KB (1,664 words) - 05:29, 23 February 2024
  • system is just a single qubit, then each measurement causes a jump on the Bloch sphere. However, in the many-body case, the situation is complicated due to...
    11 KB (1,436 words) - 14:39, 13 December 2024
  • Thumbnail for Pauli matrices
    terms of the identity matrix and the Pauli matrices also leads to the Bloch sphere representation of 2 × 2 mixed states’ density matrix, (positive semidefinite...
    45 KB (7,414 words) - 14:18, 14 December 2024
  • states are represented by points in the interior. This is known as the Bloch sphere picture of qubit state space. An example of pure and mixed states is...
    36 KB (5,310 words) - 11:52, 4 December 2024
  • Thumbnail for Quantum computing
    Bloch sphere representation of a qubit. The state | ψ ⟩ = α | 0 ⟩ + β | 1 ⟩ {\displaystyle |\psi \rangle =\alpha |0\rangle +\beta |1\rangle } is a point...
    115 KB (12,563 words) - 14:41, 14 December 2024
  • Thumbnail for Quantum information
    discrete), a qubit is continuous-valued, describable by a direction on the Bloch sphere. Despite being continuously valued in this way, a qubit is the smallest...
    41 KB (4,542 words) - 01:00, 10 October 2024
  • \Delta _{\lambda }} can be interpreted as a uniform contraction of the Bloch sphere, parameterized by λ {\displaystyle \lambda } . In the case where λ =...
    8 KB (1,324 words) - 08:56, 5 December 2024
  • there would be many angles through which state vectors would flip on the Bloch sphere. There would be an optimal length in the Rabi setup that would give the...
    22 KB (3,447 words) - 09:10, 15 May 2024
  • Thumbnail for Superposition principle
    example, the Bloch sphere to represent pure state of a two-level quantum mechanical system (qubit) is also known as the Poincaré sphere representing different...
    20 KB (2,722 words) - 23:40, 5 October 2024
  • Thumbnail for Rabi cycle
    around the positive z-axis in state space, which may be visualized as a Bloch sphere. At a time t {\displaystyle t} and a frequency ω {\displaystyle \omega...
    12 KB (2,284 words) - 16:49, 21 December 2024
  • Thumbnail for Hopf fibration
    and has infinite order. In quantum mechanics, the Riemann sphere is known as the Bloch sphere, and the Hopf fibration describes the topological structure...
    36 KB (4,801 words) - 16:11, 2 December 2024
  • horizontal circle (a line of latitude), or a rotation along the z-axis on the Bloch sphere by φ {\displaystyle \varphi } radians. A common example is the T gate...
    47 KB (3,583 words) - 00:01, 21 November 2024
  • These concepts are illustrated in the table below, where the sphere represents the Bloch sphere, the arrow represents the state of the atom, and the hand...
    13 KB (2,470 words) - 23:04, 12 September 2024
  • Bloch sphere representation of states (in blue) and optimal POVM (in red) for unambiguous quantum state discrimination on the states | ψ ⟩ = | 0 ⟩ {\displaystyle...
    66 KB (8,320 words) - 22:04, 7 December 2024
  • circles in S3 ". Versors have been used to represent rotations of the Bloch sphere with quaternion multiplication. The facility of versors illustrate elliptic...
    22 KB (2,931 words) - 01:07, 26 November 2024
  • Bloch sphere representation of states (in blue) and optimal POVM (in red) for unambiguous quantum state discrimination on the states | ψ ⟩ = | 0 ⟩ {\displaystyle...
    19 KB (3,082 words) - 11:17, 21 November 2024
  • }|1\rangle \langle 1|} This map is a rotation about the Z-axis of the Bloch sphere by an angle α {\displaystyle \alpha } . For α = π {\displaystyle \alpha...
    30 KB (2,748 words) - 04:43, 11 November 2024
  • four-dimensional Poincaré conjecture—that is, whether a four-dimensional topological sphere can have two or more inequivalent smooth structures—is unsolved. The Kourovka...
    190 KB (19,551 words) - 19:36, 11 December 2024