Lanczos method

documentation/source/reference/Algorithms/Lanczos.rst

@@ -0,0 +1,17 @@
+.. _lanczos_alg:
+
+
+Lanczos Algorithm
+=================
+
+.. currentmodule:: qrisp.lanczos
+
+.. autofunction:: lanczos_alg
+
+.. autosummary::
+   :toctree: generated/
+
+   lanczos_expvals
+   inner_lanczos
+   build_S_H_from_Tk
+   regularize_S_H

documentation/source/reference/Algorithms/Shor.rst

@@ -1,6 +1,6 @@
 .. _Shor:
 
-Shor's algorithm
+Shor's Algorithm
 ================
 
 In the realm of quantum computing, where classical limitations are challenged and new horizons are explored, Shor's Algorithm stands as a testament to the transformative potential of quantum mechanics in the field of cryptography. Developed by mathematician Peter Shor in 1994, this groundbreaking algorithm has the power to revolutionize the world of cryptography by efficiently factoring large numbers—once considered an insurmountable task for classical computers.

documentation/source/reference/Algorithms/generated/qrisp.lanczos.build_S_H_from_Tk.rst

@@ -0,0 +1,6 @@
+qrisp.lanczos.build\_S\_H\_from\_Tk
+===================================
+
+.. currentmodule:: qrisp.lanczos
+
+.. autofunction:: build_S_H_from_Tk

documentation/source/reference/Algorithms/generated/qrisp.lanczos.inner_lanczos.rst

@@ -0,0 +1,6 @@
+qrisp.lanczos.inner\_lanczos
+============================
+
+.. currentmodule:: qrisp.lanczos
+
+.. autofunction:: inner_lanczos

documentation/source/reference/Algorithms/generated/qrisp.lanczos.lanczos_expvals.rst

@@ -0,0 +1,6 @@
+qrisp.lanczos.lanczos\_expvals
+==============================
+
+.. currentmodule:: qrisp.lanczos
+
+.. autofunction:: lanczos_expvals

documentation/source/reference/Algorithms/generated/qrisp.lanczos.regularize_S_H.rst

@@ -0,0 +1,6 @@
+qrisp.lanczos.regularize\_S\_H
+==============================
+
+.. currentmodule:: qrisp.lanczos
+
+.. autofunction:: regularize_S_H

documentation/source/reference/Algorithms/index.rst

@@ -27,6 +27,8 @@ This algorithms submodule of Qrisp provides a collection of commonly used quantu
      - estimating the amount of solutions for a given Grover oracle
    * - :ref:`Quantum Monte Carlo Integration <QMCI>`
      - numerical integration
+   * - :ref:`Lanczos Algorithm <lanczos_alg>`
+     - finding the ground state energy of a Hamiltonian
    * - :ref:`CKS Algorithm <CKS>`
      - solving the quantum linear system problem
 
@@ -45,6 +47,7 @@ We encourage you to explore these algorithms, delve into their documentation, an
    QITE
    Shor
    Grover
+   Lanczos
    QuantumBacktrackingTree
    quantum_counting   
    QMCI

src/qrisp/__init__.py

@@ -46,6 +46,7 @@
     "qite",
     "qmci",
     "cks",
+    "lanczos",
 ]:
     sys.modules["qrisp." + i] = sys.modules["qrisp.algorithms." + i]
 

src/qrisp/algorithms/__init__.py

@@ -25,4 +25,5 @@
 import qrisp.algorithms.vqe as vqe
 import qrisp.algorithms.qite as qite
 import qrisp.algorithms.qmci as qmci
+import qrisp.algorithms.lanczos as lanczos
 import qrisp.algorithms.cks as cks