A judge is considered a judicial officer; (for example, please see http://www.occourts.org/directory/judicial-officers/judicial-officers.html)
CA does not have a statutory defined "law enforcement officer" but rather uses "peace officer"
Here is the relevant statute, and it lists prosecutors, but not judges:
CHAPTER 4.5. Peace Officers [830 - 832.18]
( Chapter 4.5 added by Stats. 1968, Ch. 1222. )
(a) Any sheriff, undersheriff, or deputy sheriff, employed in that capacity, of a county, any chief of police of a city or chief, director, or chief executive officer of a consolidated municipal public safety agency that performs police functions, any police officer, employed in that capacity and appointed by the chief of police or chief, director, or chief executive of a public safety agency, of a city, any chief of police, or police officer of a district, including police officers of the San Diego Unified Port District Harbor Police, authorized by statute to maintain a police department, any marshal or deputy marshal of a superior court or county, any port warden or port police officer of the Harbor Department of the City of Los Angeles, or any inspector or investigator employed in that capacity in the office of a district attorney, is a peace officer. The authority of these peace officers extends to any place in the state, as follows:
(1) As to any public offense committed or which there is probable cause to believe has been committed within the political subdivision that employs the peace officer or in which the peace officer serves.
(2) Where the peace officer has the prior consent of the chief of police or chief, director, or chief executive officer of a consolidated municipal public safety agency, or person authorized by him or her to give consent, if the place is within a city, or of the sheriff, or person authorized by him or her to give consent, if the place is within a county.
(3) As to any public offense committed or which there is probable cause to believe has been committed in the peace officer’s presence, and with respect to which there is immediate danger to person or property, or of the escape of the perpetrator of the offense.
(b) The Attorney General and special agents and investigators of the Department of Justice are peace officers, and those assistant chiefs, deputy chiefs, chiefs, deputy directors, and division directors designated as peace officers by the Attorney General are peace officers. The authority of these peace officers extends to any place in the state where a public offense has been committed or where there is probable cause to believe one has been committed.
(c) Any deputy sheriff of the County of Los Angeles, and any deputy sheriff of the Counties of Butte, Calaveras, Colusa, Glenn, Humboldt, Imperial, Inyo, Kern, Kings, Lake, Lassen, Mariposa, Mendocino, Plumas, Riverside, San Benito, San Diego, San Luis Obispo, Santa Barbara, Santa Clara, Shasta, Siskiyou, Solano, Sonoma, Stanislaus, Sutter, Tehama, Trinity, Tulare, Tuolumne, and Yuba who is employed to perform duties exclusively or initially relating to custodial assignments with responsibilities for maintaining the operations of county custodial facilities, including the custody, care, supervision, security, movement, and transportation of inmates, is a peace officer whose authority extends to any place in the state only while engaged in the performance of the duties of his or her respective employment and for the purpose of carrying out the primary function of employment relating to his or her custodial assignments, or when performing other law enforcement duties directed by his or her employing agency during a local state of emergency.
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