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/dports/math/gap/gap-4.11.0/pkg/liepring-1.9.2/lib/notes/
H A D	p567.tex	`85 L\rangle $, and $L_{c}L=\langle ab\,\|\,a\in L_{c},\,b\in L\rangle $.) The 1026 2\rangle \tag{6.9} 1031 2\rangle \tag{6.10} 1036 2\rangle \tag{6.11} 1041 2\rangle \tag{6.12} 1046 2\rangle \tag{6.13} 1051 2\rangle \tag{6.14} 1056 2\rangle \tag{6.15} 1061 2\rangle \tag{6.16} 1076 2\rangle \tag{6.19} [all …]`
/dports/math/cadabra2/cadabra2-2.3.6.8/examples/
H A D	ho.cnb	20 "source" : "bd::LaTeXForm(\"b^\\dagger\").\nvs::LaTeXForm(\"\|0\\rangle\")." 43 …"source" : "\\begin{dmath}{}b^\\dagger b b^\\dagger b^\\dagger b^\\dagger \|0\\rangle\\end{dmath}" 56 …in{dmath}{}\\left\\{b b^\\dagger = b^\\dagger b+1,~\\linebreak[0] b \|0\\rangle = 0\\right\\}\\end… 69 …"\\begin{dmath}{}8b^\\dagger b^\\dagger \|0\\rangle+4b^\\dagger b^\\dagger b^\\dagger b^\\dagger \|… 95 … "source" : "\\begin{dmath}{}b^\\dagger b \\left(b+b^\\dagger\\right)^{4} \|0\\rangle\\end{dmath}" 108 …b^\\dagger\\right) \\left(b+b^\\dagger\\right) \\left(b+b^\\dagger\\right) \|0\\rangle\\end{dmath*}" 121 …rangle+b^\\dagger b b b b b^\\dagger \|0\\rangle+b^\\dagger b b b b^\\dagger b \|0\\rangle+b^\\dagge…
H A D	string_states.cnb	76 …rce" : "The trial state is given by $\|\\chi\\rangle = \|\\chi_1\\rangle + \|\\chi_2\\rangle + \|\\chi… 80 …rce" : "The trial state is given by $\|\\chi\\rangle = \|\\chi_1\\rangle + \|\\chi_2\\rangle + \|\\chi… 299 "source" : "The procedure works the same for $L_2\|\\chi\\rangle$:" 303 "source" : "The procedure works the same for $L_2\|\\chi\\rangle$:" 318 "source" : "\\begin{dmath}{}d \|k\\rangle\\end{dmath}" 331 "source" : "\\begin{dmath}{}-4\|k\\rangle\\end{dmath}" 344 "source" : "\\begin{dmath}{}-2\|k\\rangle\\end{dmath}" 357 "source" : "The constraints $L_1 \|\\chi\\rangle=0$ and $L_2 \|\\chi\\rangle=0$ thus reduce to" 361 "source" : "The constraints $L_1 \|\\chi\\rangle=0$ and $L_2 \|\\chi\\rangle=0$ thus reduce to" 371 …\sqrt{2} k^{\\mu} \|k\\rangle+2A \\alpha_{-1}\\,^{\\mu} \\sqrt{2} k^{\\mu} \|k\\rangle-4B \\alpha_{-… [all …]
/dports/converters/p5-LaTeXML/LaTeXML-0.8.6/lib/LaTeXML/Package/
H A D	braket.sty.ltxml	21 DefMath('\ket{}', '\|#1\\rangle', meaning => 'ket'); 22 DefMath('\Ket{}', '\left\|#1\right\rangle', meaning => 'ket'); 68 DefMath('\lx@braket@{}', '\langle#1\rangle', 71 DefMath('\lx@Braket@{}', '\left\langle#1\right\rangle', 77 DefMath('\lx@braket@V{}{}', '\langle#1\,\|\,#2\rangle', 80 DefMath('\lx@braket@D{}{}', '\langle#1\,\\|\,#2\rangle', 83 DefMath('\lx@Braket@V{}{}', '\left\langle#1\,\middle\|\,#2\right\rangle', 90 DefMath('\lx@braket@VV{}{}{}', '\langle#1\,\|#2\,\|\,#3\rangle', 93 DefMath('\lx@braket@VD{}{}{}', '\langle#1\,\|\,#2\,\\|\,#3\rangle', 96 DefMath('\lx@braket@DV{}{}{}', '\langle#1\,\\|\,#2\,\|\,#3\rangle', [all …]
/dports/games/dxx-rebirth/dxx-rebirth_20211220-src/similar/editor/
H A D	curves.cpp	143 fixang rangle, uangle; in generate_curve() local 260 if (rangle >= F1_0/8) rangle -= F1_0/4; in generate_curve() 261 if (rangle >= F1_0/8) rangle -= F1_0/4; in generate_curve() 262 if (rangle <= -F1_0/8) rangle += F1_0/4; in generate_curve() 263 if (rangle <= -F1_0/8) rangle += F1_0/4; in generate_curve() 265 if ((uangle != 0) && (rangle != 0)) { in generate_curve() 318 if (rangle >= F1_0/8) rangle -= F1_0/4; in generate_banked_curve() 319 if (rangle >= F1_0/8) rangle -= F1_0/4; in generate_banked_curve() 320 if (rangle <= -F1_0/8) rangle += F1_0/4; in generate_banked_curve() 321 if (rangle <= -F1_0/8) rangle += F1_0/4; in generate_banked_curve() [all …]
/dports/science/libcint/libcint-5.1.0/doc/
H A D	program_ref.tex	450 \texttt{cint1e\_ovlp\_cart} \[\langle i\| j\rangle \] 455 \[.5\langle i\| \vec{p} \cdot \vec{p} j\rangle \] 467 \[0.5i\langle \vec{p} \cdot \vec{p} i\| U_gj\rangle \] 479 \[\langle \vec{\nabla} i\| V_{nuc}\|j\rangle \] 482 \[\langle \vec{\nabla} i\| r^{-1}\|j\rangle \] 501 \texttt{cint1e\_ovlp\_sph} \[\langle i\| j\rangle \] 529 \[\langle \vec{\nabla} i\| V_{nuc}\|j\rangle \] 532 \[\langle \vec{\nabla} i\| r^{-1}\|j\rangle \] 551 \texttt{cint1e\_ovlp} \[\langle i\| j\rangle \] 585 \texttt{cint1e\_ovlpg} \[\langle i\|U_g j\rangle \] [all …]
/dports/editors/texmacs/TeXmacs-1.99.4-src/plugins/qcl/doc/
H A D	qcl-demo.en.tm	17 …2] <math\|1<hspace\|0.25spc><with\|color\|magenta\|<around\|\\|\|<with\|math-font-family\|rm\|0>\|\<rangle\>>>> 35 …math-font-family\|rm\|0>\|\<rangle\>>>-0.38268<hspace\|0.25spc><with\|color\|magenta\|<around\|\\|\|<with\|ma… 45 …math-font-family\|rm\|0>\|\<rangle\>>>+0.92388<hspace\|0.25spc><with\|color\|magenta\|<around\|\\|\|<with\|ma… 62 …math-font-family\|rm\|0>\|\<rangle\>>>+0.92388<hspace\|0.25spc><with\|color\|magenta\|<around\|\\|\|<with\|ma… 103 …math-font-family\|rm\|0>\|\<rangle\>>>+0.70711<hspace\|0.25spc><with\|color\|magenta\|<around\|\\|\|<with\|ma…
H A D	qcl-demo.it.tm	33 font family\|rm\|0>\<rangle\>>> 54 font family\|rm\|0>\<rangle\>>-0.38268<hspace\|0.25spc><with\|color\|magenta\|\\|<with\|math 55 font family\|rm\|1>\<rangle\>>> 68 font family\|rm\|0>\<rangle\>>+0.92388<hspace\|0.25spc><with\|color\|magenta\|\\|<with\|math 69 font family\|rm\|1>\<rangle\>>> 89 family\|rm\|0>\<rangle\>>+0.92388<hspace\|0.25spc><with\|color\|magenta\|\\|<with\|math 90 font family\|rm\|1>\<rangle\>> 136 font family\|rm\|0>\<rangle\>>+0.70711<hspace\|0.25spc><with\|color\|magenta\|\\|<with\|math 137 font family\|rm\|1>\<rangle\>>>
/dports/science/chemps2/CheMPS2-1.8.10/sphinx/
H A D	caspt2.rst	56 …, \alpha, \beta \right\rangle = \left[ \alpha \left( \hat{E}_{sz} + {E}_{zs} \right) + \beta \righ… 91 \text{A} & : & \quad \hat{E}_{ti} \hat{E}_{uv} \left\| \Psi_0 \right\rangle, \\ 92 \text{B} & : & \quad \hat{E}_{ti} \hat{E}_{uj} \left\| \Psi_0 \right\rangle, \\ 93 \text{C} & : & \quad \hat{E}_{at} \hat{E}_{uv} \left\| \Psi_0 \right\rangle, \\ 94 …hat{E}_{ai} \hat{E}_{tu} \left\| \Psi_0 \right\rangle,~\hat{E}_{ti}\hat{E}_{au} \left\| \Psi_0 \righ… 95 \text{E} & : & \quad \hat{E}_{ti} \hat{E}_{aj} \left\| \Psi_0 \right\rangle, \\ 96 \text{F} & : & \quad \hat{E}_{at} \hat{E}_{bu} \left\| \Psi_0 \right\rangle, \\ 97 \text{G} & : & \quad \hat{E}_{ai} \hat{E}_{bt} \left\| \Psi_0 \right\rangle, \\ 98 \text{H} & : & \quad \hat{E}_{ai} \hat{E}_{bj} \left\| \Psi_0 \right\rangle. 111 …rangle = \sum_{pq;rs \in \mathcal{V}_{\text{SD}}} C_{pq;rs} \hat{E}_{pq} \hat{E}_{rs} \left\| \Psi_… [all …]
H A D	symmetry.rst	27 \left\|-\right\rangle & \rightarrow & \left\|s = 0;s^z=0;N=0; I=I_0\right\rangle\\ 28 …\left\|\uparrow\right\rangle & \rightarrow & \left\|s = \frac{1}{2};s^z=\frac{1}{2};N=1; I=I_k\right… 29 …\left\|\downarrow\right\rangle & \rightarrow & \left\|s = \frac{1}{2};s^z=-\frac{1}{2};N=1; I=I_k\ri… 30 …\left\|\uparrow\downarrow\right\rangle & \rightarrow & \left\|s = 0;s^z=0;N=2; I=I_k \otimes I_k = I… 36 … N_R I_R \alpha_R)} = \left\langle j_L j_L^z s s^z \mid j_R j_R^z \right\rangle \delta_{N_L+N,N_R}…
H A D	inoutput.rst	120 …\dagger}_{i \sigma} \hat{a}^{\dagger}_{j \tau} \hat{a}_{l \tau} \hat{a}_{k \sigma} \right\rangle \\ 121 …a} \right\rangle - \left\langle \hat{a}^{\dagger}_{i \sigma} \hat{a}^{\dagger}_{j -\sigma} \hat{a}… 122 …}_{j \tau} \hat{a}^{\dagger}_{k z} \hat{a}_{n z } \hat{a}_{m \tau} \hat{a}_{l \sigma} \right\rangle 128 …e \hat{S}_i^z \hat{S}_j^z \right\rangle - \left\langle \hat{S}_i^z \right\rangle \left\langle \hat… 129 … & \left\langle \hat{S}_i^+ \hat{S}_j^- \right\rangle + \left\langle \hat{S}_i^- \hat{S}_j^+ \righ… 130 …\langle \hat{n}_i \hat{n}_j \right\rangle - \left\langle \hat{n}_i \right\rangle \left\langle \hat… 131 …rangle + \left\langle \hat{d}_{i\downarrow} \hat{d}_{j\uparrow} \right\rangle - \left\langle \hat{… 151 \hat{H} = \sum\limits_{ i \geq 0 } \left\| \Psi_i \right\rangle E_i \left\langle \Psi_i \right\|. 153 …RG::newExcitation( Eshift )``, you push back :math:`\left\| \Psi_0 \right\rangle` and change the Ha… 157 …rangle E_{\text{shift}} \left\langle \Psi_0 \right\| = \left\| \Psi_0 \right\rangle ( E_0 + E_{\text… [all …]
/dports/converters/p5-LaTeXML/LaTeXML-0.8.6/t/parse/
H A D	fences.tex	`11 \item $\langle\rangle$ 19 \item $\langle a,b \rangle $ % list 20 \item $\langle ab \rangle $ % unknown delimited 21 \item $\langle a \rangle$ % unknown delimited`
H A D	artefacts.tex	`22 \item $\| \rightarrow \rangle$ % ket over arrow is allowed? why? 23 \item $\| \iff \rangle$ % ket over metarelop is allowed? why? 24 \item $\| \bmod \rangle$ % ket over modifierop is allowed? why? 25 \item $\| \times_i^2 \rangle$ % ket over mulop is allowed? why?`
H A D	qm.tex	`45 \[ \|A\rangle = \|B\rangle + \|C\rangle\]`
/dports/textproc/yodl/yodl-5fa97b175c85581d01329013cfdb4239f019b023/yodl/macros/rawmacros/
H A D	rangle.raw	`2 macro(rangle()) 6 DEFINEMACRO(rangle)(0)(\ 8 NOTRANS($^\rangle$)\`
/dports/math/gap/gap-4.11.0/pkg/liepring-1.9.2/lib/dim7/3gen/notes/
H A D	notes6.178.tex	57 baa-\xi bab,\,pc,\,\text{class }3\rangle , 168 baa,\,pc-xbaaa,\,\text{class }4\rangle \,(\text{all }x,\,x\sim -x), 173 \text{class }4\rangle \,(\text{all }x,\,x\sim -x,\,p=1\func{mod}4), 178 baa,\,pc-xbaaa,\,\text{class }4\rangle \,(\text{all }x,\,x\sim -x), 201 baa,\,pc-xbaaa,\,\text{class }4\rangle \,(\text{all }x,\,x\sim -x), 208 baa,\,pc,\,\text{class }4\rangle \,(x\neq 0,\,x\sim -x), 214 baa-xbaaa,\,pc,\,\text{class }4\rangle \,(x\neq 0,\,x\sim -x), 221 baa-xbaaa,\,pc-ybaaa,\,\text{class }4\rangle \,(x\neq 0,\,x\sim -x). 233 baa+bab,\,pc-xbaab,\,\text{class }4\rangle \,(\text{all }x). 247 baa+bab,\,pc-xbaab,\,\text{class }4\rangle \,(y\neq 0,\,y\sim -y), [all …]
/dports/math/gap/gap-4.11.0/pkg/ctbllib/tst/
H A D	o8p2s3_o8p5s3.g	`6 ## $\langle a1, a2 \rangle \cong O^+_8(2)$, 7 ## $\langle a1, a2, b \rangle \cong O^+_8(2).2$, 8 ## $\langle a1, a2, t \rangle \cong O^+_8(2).3$, 9 ## $\langle a1, a2, t, b \rangle \cong O^+_8(2).S_3$, 10 ## $\langle a1, a2, c \rangle \cong O^+_8(5)$, 11 ## $\langle a1, a2, c, b \rangle \cong O^+_8(5).2$, 12 ## $\langle a1, a2, c, t \rangle \cong O^+_8(5).3$, and 13 ## $\langle a1, a2, c, t, b \rangle \cong O^+_8(5).S_3$.`
/dports/science/wannier90/wannier90-3.1.0/doc/user_guide/
H A D	wannier90.tex	30 0}}({\bf r}) \rangle - \| \langle w_{n{\bf 0}}({\bf r})\| {\bf r} 31 \| w_{n{\bf 0}}({\bf r}) \rangle \|^2 \right]. 45 0}}({\bf r}) \rangle - \sum_{{\bf R}m} \left\| \langle w_{n{\bf 46 R}}({\bf r})\| {\bf r} \| w_{n{\bf 0}}({\bf r}) \rangle \right\| ^2 51 R}}({\bf r})\| {\bf r} \| w_{n{\bf 0}}({\bf r}) \rangle\|^2 55 r})\| {\bf r} \| w_{n{\bf 0}}({\bf r}) \rangle \|^2 64 $\|u_{n{\bf k}}\rangle$ 66 M_{mn}^{(\bf{k,b})}=\langle u_{m{\bf k}}\|u_{n{\bf k}+{\bf b}}\rangle, 72 $\|\psi_{n\bf{k}}\rangle$ onto trial localised orbitals $\|g_{n}\rangle$ 74 A_{mn}^{(\bf{k})}=\langle \psi_{m{\bf k}}\|g_{n}\rangle, [all …]
/dports/science/py-OpenFermion/OpenFermion-1.3.0/docs/tutorials/
H A D	jordan_wigner_and_bravyi_kitaev_transforms.ipynb	118 "- If $\\lvert{\\psi}\\rangle$ is a 0-eigenvector of $a_p^\\dagger a_p$, then\n", 131 " $$\\lvert n_0, \\ldots, n_{N-1} \\rangle :=\n", 137 …rangle &= (-1)^{\\sum_{q=0}^{p-1} n_q} \\lvert n_0, \\ldots, n_{p-1}, 0, n_{p+1}, \\ldots, n_{N-1}… 150 " &= (\\lvert{0}\\rangle\\langle{1}\\rvert)_p Z_1 \\cdots Z_{p - 1} \\\\\n", 155 "$\\lvert z_0, \\ldots, z_{N-1} \\rangle$:\n", 231 "$$\\lvert x \\rangle \\mapsto \\lvert e(x) \\rangle,$$\n", 257 "$\\lvert n_0, \\ldots, n_{N-1} \\rangle \\mapsto \\lvert z_0, \\ldots, z_{N-1} \\rangle,$\n", 264 …" &= [(\\lvert{0}\\rangle\\langle{1}\\rvert)_p (\\lvert{0}\\rangle\\langle{0}\\rvert)_{p - 1} -… 265 …" (\\lvert{0}\\rangle\\langle{1}\\rvert)_p (\\lvert{1}\\rangle\\langle{1}\\rvert)_{p - 1}]\… 367 "$(\\lvert{0}\\rangle\\langle{1}\\rvert)_p (\\lvert{0}\\rangle\\langle{0}\\rvert)_{p - 1} -\n", [all …]
/dports/x11-fonts/py-fontMath/fontMath-0.4.9/Lib/fontMath/
H A D	mathFunctions.py	`47 rangle = math.radians(angle) 48 x = math.cos(rangle) 49 y = math.sin(rangle)`
/dports/science/py-cirq-aqt/Cirq-0.12.0/docs/tutorials/
H A D	quantum_walks.ipynb	140 "$$\\lvert \\text{Final}\\rangle \\ = \\ \\lvert \\text{Initial} \\ + \\ j\\rangle$$\n", 461 "$$H_C \\ = \\ \\{\\lvert i\\rangle \\ : \\ i \\ = \\ \\downarrow, \\ \\uparrow\\rangle\\}$$\n", 473 …"$$\\lvert 0\\rangle \\ = \\ \\lvert \\uparrow\\rangle \\ \\ \\text{and} \\ \\ \\lvert 1\\rangle \… 478 "element of this Hilbert space as $\\lvert i\\rangle \\ \\otimes \\ \\lvert j\\rangle$.\n", 496 "$\\lvert \\uparrow\\rangle \\ \\otimes \\ \\lvert 1\\rangle$ and we apply the $U$ operator:\n", 499 …rangle \\ \\otimes \\ \\lvert 1\\rangle) \\ \\ = \\ \\Big( \\ \\lvert \\uparrow\\rangle\\langle\\… 501 …rangle\\langle\\uparrow\\lvert \\uparrow\\rangle \\ \\otimes \\ \\displaystyle\\sum_{j} \\ \\lver… 504 …rangle \\ \\otimes \\ \\lvert 2\\rangle \\ + \\ 0\\lvert \\downarrow\\rangle \\ \\otimes \\ \\lver… 647 …"we have some addition unitary $A$, such that $A \|j\\rangle \\ = \\ \|j \\ + \\ 1\\rangle$, then:\n… 650 …rangle \\ = \\ A^{\\dagger}\|j \\ + \\ 1\\rangle \\ \\Rightarrow \\ A^{\\dagger}\|j \\ + \\ 1\\rangl… [all …]
/dports/science/py-cirq-ionq/Cirq-0.13.1/docs/tutorials/
H A D	quantum_walks.ipynb	140 "$$\\lvert \\text{Final}\\rangle \\ = \\ \\lvert \\text{Initial} \\ + \\ j\\rangle$$\n", 461 "$$H_C \\ = \\ \\{\\lvert i\\rangle \\ : \\ i \\ = \\ \\downarrow, \\ \\uparrow\\rangle\\}$$\n", 473 …"$$\\lvert 0\\rangle \\ = \\ \\lvert \\uparrow\\rangle \\ \\ \\text{and} \\ \\ \\lvert 1\\rangle \… 478 "element of this Hilbert space as $\\lvert i\\rangle \\ \\otimes \\ \\lvert j\\rangle$.\n", 496 "$\\lvert \\uparrow\\rangle \\ \\otimes \\ \\lvert 1\\rangle$ and we apply the $U$ operator:\n", 499 …rangle \\ \\otimes \\ \\lvert 1\\rangle) \\ \\ = \\ \\Big( \\ \\lvert \\uparrow\\rangle\\langle\\… 501 …rangle\\langle\\uparrow\\lvert \\uparrow\\rangle \\ \\otimes \\ \\displaystyle\\sum_{j} \\ \\lver… 504 …rangle \\ \\otimes \\ \\lvert 2\\rangle \\ + \\ 0\\lvert \\downarrow\\rangle \\ \\otimes \\ \\lver… 647 …"we have some addition unitary $A$, such that $A \|j\\rangle \\ = \\ \|j \\ + \\ 1\\rangle$, then:\n… 650 …rangle \\ = \\ A^{\\dagger}\|j \\ + \\ 1\\rangle \\ \\Rightarrow \\ A^{\\dagger}\|j \\ + \\ 1\\rangl… [all …]
/dports/science/py-cirq-pasqal/Cirq-0.13.1/docs/tutorials/
H A D	quantum_walks.ipynb	140 "$$\\lvert \\text{Final}\\rangle \\ = \\ \\lvert \\text{Initial} \\ + \\ j\\rangle$$\n", 461 "$$H_C \\ = \\ \\{\\lvert i\\rangle \\ : \\ i \\ = \\ \\downarrow, \\ \\uparrow\\rangle\\}$$\n", 473 …"$$\\lvert 0\\rangle \\ = \\ \\lvert \\uparrow\\rangle \\ \\ \\text{and} \\ \\ \\lvert 1\\rangle \… 478 "element of this Hilbert space as $\\lvert i\\rangle \\ \\otimes \\ \\lvert j\\rangle$.\n", 496 "$\\lvert \\uparrow\\rangle \\ \\otimes \\ \\lvert 1\\rangle$ and we apply the $U$ operator:\n", 499 …rangle \\ \\otimes \\ \\lvert 1\\rangle) \\ \\ = \\ \\Big( \\ \\lvert \\uparrow\\rangle\\langle\\… 501 …rangle\\langle\\uparrow\\lvert \\uparrow\\rangle \\ \\otimes \\ \\displaystyle\\sum_{j} \\ \\lver… 504 …rangle \\ \\otimes \\ \\lvert 2\\rangle \\ + \\ 0\\lvert \\downarrow\\rangle \\ \\otimes \\ \\lver… 647 …"we have some addition unitary $A$, such that $A \|j\\rangle \\ = \\ \|j \\ + \\ 1\\rangle$, then:\n… 650 …rangle \\ = \\ A^{\\dagger}\|j \\ + \\ 1\\rangle \\ \\Rightarrow \\ A^{\\dagger}\|j \\ + \\ 1\\rangl… [all …]
/dports/science/py-cirq-core/Cirq-0.13.1/docs/tutorials/
H A D	quantum_walks.ipynb	140 "$$\\lvert \\text{Final}\\rangle \\ = \\ \\lvert \\text{Initial} \\ + \\ j\\rangle$$\n", 461 "$$H_C \\ = \\ \\{\\lvert i\\rangle \\ : \\ i \\ = \\ \\downarrow, \\ \\uparrow\\rangle\\}$$\n", 473 …"$$\\lvert 0\\rangle \\ = \\ \\lvert \\uparrow\\rangle \\ \\ \\text{and} \\ \\ \\lvert 1\\rangle \… 478 "element of this Hilbert space as $\\lvert i\\rangle \\ \\otimes \\ \\lvert j\\rangle$.\n", 496 "$\\lvert \\uparrow\\rangle \\ \\otimes \\ \\lvert 1\\rangle$ and we apply the $U$ operator:\n", 499 …rangle \\ \\otimes \\ \\lvert 1\\rangle) \\ \\ = \\ \\Big( \\ \\lvert \\uparrow\\rangle\\langle\\… 501 …rangle\\langle\\uparrow\\lvert \\uparrow\\rangle \\ \\otimes \\ \\displaystyle\\sum_{j} \\ \\lver… 504 …rangle \\ \\otimes \\ \\lvert 2\\rangle \\ + \\ 0\\lvert \\downarrow\\rangle \\ \\otimes \\ \\lver… 647 …"we have some addition unitary $A$, such that $A \|j\\rangle \\ = \\ \|j \\ + \\ 1\\rangle$, then:\n… 650 …rangle \\ = \\ A^{\\dagger}\|j \\ + \\ 1\\rangle \\ \\Rightarrow \\ A^{\\dagger}\|j \\ + \\ 1\\rangl… [all …]
/dports/science/py-cirq-google/Cirq-0.13.0/docs/tutorials/
H A D	quantum_walks.ipynb	140 "$$\\lvert \\text{Final}\\rangle \\ = \\ \\lvert \\text{Initial} \\ + \\ j\\rangle$$\n", 461 "$$H_C \\ = \\ \\{\\lvert i\\rangle \\ : \\ i \\ = \\ \\downarrow, \\ \\uparrow\\rangle\\}$$\n", 473 …"$$\\lvert 0\\rangle \\ = \\ \\lvert \\uparrow\\rangle \\ \\ \\text{and} \\ \\ \\lvert 1\\rangle \… 478 "element of this Hilbert space as $\\lvert i\\rangle \\ \\otimes \\ \\lvert j\\rangle$.\n", 496 "$\\lvert \\uparrow\\rangle \\ \\otimes \\ \\lvert 1\\rangle$ and we apply the $U$ operator:\n", 499 …rangle \\ \\otimes \\ \\lvert 1\\rangle) \\ \\ = \\ \\Big( \\ \\lvert \\uparrow\\rangle\\langle\\… 501 …rangle\\langle\\uparrow\\lvert \\uparrow\\rangle \\ \\otimes \\ \\displaystyle\\sum_{j} \\ \\lver… 504 …rangle \\ \\otimes \\ \\lvert 2\\rangle \\ + \\ 0\\lvert \\downarrow\\rangle \\ \\otimes \\ \\lver… 647 …"we have some addition unitary $A$, such that $A \|j\\rangle \\ = \\ \|j \\ + \\ 1\\rangle$, then:\n… 650 …rangle \\ = \\ A^{\\dagger}\|j \\ + \\ 1\\rangle \\ \\Rightarrow \\ A^{\\dagger}\|j \\ + \\ 1\\rangl… [all …]

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