quantum-state
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| The set of single-qubit pure states maps one-to-one onto the surface of the [[bloch-sphere|Bloch sphere]], where the north and south poles are $\lvert 0\rangle$ and $\lvert 1\rangle$, the equatorial $x$-axis states are $\lvert +\rangle$ and $\lvert -\rangle$, and the equatorial $y$-axis states are $\lvert +i\rangle$ and $\lvert -i\rangle$. Multi-qubit states can be entangled, meaning they cannot be written as a product of individual qubit states; the [[bell-states|Bell states]] are the canonical two-qubit entangled states. | The set of single-qubit pure states maps one-to-one onto the surface of the [[bloch-sphere|Bloch sphere]], where the north and south poles are $\lvert 0\rangle$ and $\lvert 1\rangle$, the equatorial $x$-axis states are $\lvert +\rangle$ and $\lvert -\rangle$, and the equatorial $y$-axis states are $\lvert +i\rangle$ and $\lvert -i\rangle$. Multi-qubit states can be entangled, meaning they cannot be written as a product of individual qubit states; the [[bell-states|Bell states]] are the canonical two-qubit entangled states. | ||
| - | ## List of quantum states | ||
| - | |||
| - | - [[0-state]] — computational basis state, $+z$ Bloch pole (north pole) | ||
| - | - [[1-state]] — computational basis state, $-z$ Bloch pole (south pole) | ||
| - | - [[plus-state]] — equal superposition with positive amplitudes, $+x$ Bloch pole | ||
| - | - [[minus-state]] — equal superposition with opposite signs, $-x$ Bloch pole | ||
| - | - [[i-state]] — equal superposition with $+i$ relative phase, $+y$ Bloch pole | ||
| - | - [[minus-i-state]] — equal superposition with $-i$ relative phase, $-y$ Bloch pole | ||
| - | - [[bell-states]] — four maximally entangled two-qubit states | ||
| - | - [[phi-plus-state|$\lvert\Phi^+\rangle$ (Phi-plus)]] | ||
| - | - [[phi-minus-state|$\lvert\Phi^-\rangle$ (Phi-minus)]] | ||
| - | - [[psi-plus-state|$\lvert\Psi^+\rangle$ (Psi-plus)]] | ||
| - | - [[psi-minus-state|$\lvert\Psi^-\rangle$ (Psi-minus)]] | ||
| - | - [[w-state]] — three-qubit entangled state, robust under qubit loss | ||
| - | - [[ghz-state]] — three-or-more-qubit entangled state, fragile generalisation of the Bell state | ||
quantum-state.1781305320.txt.gz · Last modified: by 127.0.0.1